91513 has 2 divisors, whose sum is σ = 91514. Its totient is φ = 91512.

The previous prime is 91499. The next prime is 91529. The reversal of 91513 is 31519.

It is the 124-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56169 + 35344 = 237^2 + 188^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91513 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45756 + 45757.

It is an arithmetic number, because the mean of its divisors is an integer number (45757).

2⁹¹⁵¹³ is an apocalyptic number.

It is an amenable number.

91513 is a deficient number, since it is larger than the sum of its proper divisors (1).

91513 is an equidigital number, since it uses as much as digits as its factorization.

91513 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 91513 is about 302.5111568191. The cubic root of 91513 is about 45.0637778785.

Subtracting from 91513 its product of digits (135), we obtain a triangular number (91378 = T₄₂₇).

The spelling of 91513 in words is "ninety-one thousand, five hundred thirteen".