15913 has 2 divisors, whose sum is σ = 15914. Its totient is φ = 15912.

The previous prime is 15907. The next prime is 15919. The reversal of 15913 is 31951.

It is the 52-nd star number.

It is a balanced prime because it is at equal distance from previous prime (15907) and next prime (15919).

It can be written as a sum of positive squares in only one way, i.e., 15129 + 784 = 123^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 15913 - 2⁵ = 15881 is a prime.

It is equal to p₁₈₅₅ and since 15913 and 1855 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (15919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7956 + 7957.

It is an arithmetic number, because the mean of its divisors is an integer number (7957).

2¹⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

15913 is a deficient number, since it is larger than the sum of its proper divisors (1).

15913 is an equidigital number, since it uses as much as digits as its factorization.

15913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 15913 is about 126.1467399499. The cubic root of 15913 is about 25.1526658281.

It can be divided in two parts, 15 and 913, that multiplied together give a triangular number (13695 = T₁₆₅).

The spelling of 15913 in words is "fifteen thousand, nine hundred thirteen".