91959057 has 20 divisors (see below), whose sum is σ = 137806900. Its totient is φ = 61111584.

The previous prime is 91959053. The next prime is 91959071. The reversal of 91959057 is 75095919.

91959057 is a `hidden beast` number, since 9 + 1 + 9 + 590 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 8346321 = 9144^2 + 2889^2 .

It is not a de Polignac number, because 91959057 - 2² = 91959053 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91959053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26643 + ... + 29895.

It is an arithmetic number, because the mean of its divisors is an integer number (6890345).

Almost surely, 2^91959057 is an apocalyptic number.

It is an amenable number.

91959057 is a deficient number, since it is larger than the sum of its proper divisors (45847843).

91959057 is a wasteful number, since it uses less digits than its factorization.

91959057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 91959057 is about 9589.5285077005. The cubic root of 91959057 is about 451.3687657351.

The spelling of 91959057 in words is "ninety-one million, nine hundred fifty-nine thousand, fifty-seven".