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15361 is a prime number

15361 has 2 divisors, whose sum is σ = 15362. Its totient is φ = 15360.

The previous prime is 15359. The next prime is 15373. The reversal of 15361 is 16351.


It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 961 = 120^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 15361 - 21 = 15359 is a prime.

Together with 15359, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15331) by changing a digit.


It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7680 + 7681.

It is an arithmetic number, because the mean of its divisors is an integer number (7681).

It is a Proth number, since it is equal to 15 ⋅ 210 + 1 and 15 < 210.

215361 is an apocalyptic number.

It is an amenable number.


15361 is an equidigital number, since it uses as much as digits as its factorization.

15361 is an odious number, because the sum of its binary digits is odd.


The square root of 15361 is about 123.9395013706. The cubic root of 15361 is about 24.8583994860.

Adding to 15361 its product of digits (90), we get a palindrome (15451).

Subtracting 15361 from its reverse (16351), we obtain a triangular number (990 = T44).

The spelling of 15361 in words is "fifteen thousand, three hundred sixty-one".