91829125 has 32 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 70782400.

The previous prime is 91829119. The next prime is 91829137. The reversal of 91829125 is 52192819.

It is not a de Polignac number, because 91829125 - 2⁵ = 91829093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549792 + ... + 549958.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^91829125 is an apocalyptic number.

It is an amenable number.

91829125 is a deficient number, since it is larger than the sum of its proper divisors (27050363).

91829125 is a wasteful number, since it uses less digits than its factorization.

91829125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its digits is 12960, while the sum is 37.

The square root of 91829125 is about 9582.7514316088. The cubic root of 91829125 is about 451.1560809033.

The spelling of 91829125 in words is "ninety-one million, eight hundred twenty-nine thousand, one hundred twenty-five".