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5349 = 31783

5349 has 4 divisors (see below), whose sum is σ = 7136. Its totient is φ = 3564.

The previous prime is 5347. The next prime is 5351. The reversal of 5349 is 9435.

5349 is nontrivially palindromic in base 2.



It is an interprime number because it is at equal distance from previous prime (5347) and next prime (5351).

It is not a de Polignac number, because 5349 - 21 = 5347 is a prime.

It is a super-2 number, since 2×53492 = 57223602, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.


It is not an unprimeable number, because it can be changed into a prime (5347) by changing a digit.


It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 889 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (1784).

25349 is an apocalyptic number.

It is an amenable number.

5349 is a deficient number, since it is larger than the sum of its proper divisors (1787).

5349 is a wasteful number, since it uses less digits than its factorization.

5349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786.

The product of its digits is 540, while the sum is 21.

The square root of 5349 is about 73.1368580129. The cubic root of 5349 is about 17.4887001882.

The spelling of 5349 in words is "five thousand, three hundred forty-nine".

Divisors: 1 3 1783 5349