91961625 has 64 divisors (see below), whose sum is σ = 178454016. Its totient is φ = 41184000.

The previous prime is 91961599. The next prime is 91961629. The reversal of 91961625 is 52616919.

It is not a de Polignac number, because 91961625 - 2⁶ = 91961561 is a prime.

It is a super-3 number, since 3×91961625³ (a number of 25 digits) contains 333 as substring.

Its product of digits (29160) is a multiple of the sum of its prime divisors (729).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138795 + ... + 139455.

It is an arithmetic number, because the mean of its divisors is an integer number (2788344).

Almost surely, 2^91961625 is an apocalyptic number.

It is an amenable number.

91961625 is a deficient number, since it is larger than the sum of its proper divisors (86492391).

91961625 is a wasteful number, since it uses less digits than its factorization.

91961625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 91961625 is about 9589.6624028169. The cubic root of 91961625 is about 451.3729672578.

The spelling of 91961625 in words is "ninety-one million, nine hundred sixty-one thousand, six hundred twenty-five".