91306953 has 16 divisors (see below), whose sum is σ = 135472960. Its totient is φ = 60779808.

The previous prime is 91306933. The next prime is 91306967. The reversal of 91306953 is 35960319.

It is not a de Polignac number, because 91306953 - 2⁵ = 91306921 is a prime.

It is a super-2 number, since 2×91306953² = 16673919332288418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91306933) 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, 19101 + ... + 23397.

It is an arithmetic number, because the mean of its divisors is an integer number (8467060).

Almost surely, 2^91306953 is an apocalyptic number.

It is an amenable number.

91306953 is a deficient number, since it is larger than the sum of its proper divisors (44166007).

91306953 is a wasteful number, since it uses less digits than its factorization.

91306953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 91306953 is about 9555.4671785319. The cubic root of 91306953 is about 450.2993119833.

The spelling of 91306953 in words is "ninety-one million, three hundred six thousand, nine hundred fifty-three".