91216125 has 224 divisors, whose sum is σ = 229162752. Its totient is φ = 34992000.

The previous prime is 91216123. The next prime is 91216141. The reversal of 91216125 is 52161219.

It is not a de Polignac number, because 91216125 - 2¹ = 91216123 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91216121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7016619 + ... + 7016631.

It is an arithmetic number, because the mean of its divisors is an integer number (1023048).

Almost surely, 2^91216125 is an apocalyptic number.

It is an amenable number.

91216125 is an abundant number, since it is smaller than the sum of its proper divisors (137946627).

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

91216125 is a wasteful number, since it uses less digits than its factorization.

91216125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

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

The square root of 91216125 is about 9550.7133241450. The cubic root of 91216125 is about 450.1499500278.

The spelling of 91216125 in words is "ninety-one million, two hundred sixteen thousand, one hundred twenty-five".