91825712 has 80 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 39755520.

The previous prime is 91825709. The next prime is 91825717. The reversal of 91825712 is 21752819.

It is a super-2 number, since 2×91825712² = 16863922768613888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91825717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384089 + ... + 384327.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^91825712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

91825712 is an abundant number, since it is smaller than the sum of its proper divisors (111732688).

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

91825712 is a wasteful number, since it uses less digits than its factorization.

91825712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 91825712 is about 9582.5733495758. The cubic root of 91825712 is about 451.1504914828.

The spelling of 91825712 in words is "ninety-one million, eight hundred twenty-five thousand, seven hundred twelve".