91500 has 48 divisors (see below), whose sum is σ = 270816. Its totient is φ = 24000.

The previous prime is 91499. The next prime is 91513. The reversal of 91500 is 519.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 91500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470 + ... + 1530.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

2⁹¹⁵⁰⁰ 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 91500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

91500 is an abundant number, since it is smaller than the sum of its proper divisors (179316).

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

91500 is a wasteful number, since it uses less digits than its factorization.

91500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 91500 is about 302.4896692451. The cubic root of 91500 is about 45.0616439127.

The spelling of 91500 in words is "ninety-one thousand, five hundred".