91924000313 has 16 divisors (see below), whose sum is σ = 93629361360. Its totient is φ = 90231791616.

The previous prime is 91924000297. The next prime is 91924000409. The reversal of 91924000313 is 31300042919.

91924000313 = 214387² + 214388².

It can be written as a sum of positive squares in 8 ways, for example, as 20178770704 + 71745229609 = 142052^2 + 267853^2 .

It is a cyclic number.

It is not a de Polignac number, because 91924000313 - 2⁴ = 91924000297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91924000313.

It is not an unprimeable number, because it can be changed into a prime (91924000213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13641281 + ... + 13648017.

It is an arithmetic number, because the mean of its divisors is an integer number (5851835085).

Almost surely, 2^91924000313 is an apocalyptic number.

91924000313 is the 214388-th centered square number.

It is an amenable number.

91924000313 is a deficient number, since it is larger than the sum of its proper divisors (1705361047).

91924000313 is a wasteful number, since it uses less digits than its factorization.

91924000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 91924000313 in words is "ninety-one billion, nine hundred twenty-four million, three hundred thirteen", and thus it is an aban number.