91817952 has 96 divisors (see below), whose sum is σ = 257789952. Its totient is φ = 28514304.

The previous prime is 91817951. The next prime is 91817959. The reversal of 91817952 is 25971819.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91817951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207043 + ... + 207485.

It is an arithmetic number, because the mean of its divisors is an integer number (2685312).

Almost surely, 2^91817952 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 91817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894976).

91817952 is an abundant number, since it is smaller than the sum of its proper divisors (165972000).

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

91817952 is a wasteful number, since it uses less digits than its factorization.

91817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 91817952 is about 9582.1684393461. The cubic root of 91817952 is about 451.1377825281.

The spelling of 91817952 in words is "ninety-one million, eight hundred seventeen thousand, nine hundred fifty-two".