91121625 has 192 divisors, whose sum is σ = 213408000. Its totient is φ = 38102400.

The previous prime is 91121623. The next prime is 91121629. The reversal of 91121625 is 52612119.

91121625 is a `hidden beast` number, since 9 + 11 + 21 + 625 = 666.

It is not a de Polignac number, because 91121625 - 2¹ = 91121623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91121621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3142111 + ... + 3142139.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 2^91121625 is an apocalyptic number.

91121625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

91121625 is an abundant number, since it is smaller than the sum of its proper divisors (122286375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91121625 is a wasteful number, since it uses less digits than its factorization.

91121625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 91121625 is about 9545.7647676862. The cubic root of 91121625 is about 449.9944443759.

The spelling of 91121625 in words is "ninety-one million, one hundred twenty-one thousand, six hundred twenty-five".