91530 has 40 divisors (see below), whose sum is σ = 248292. Its totient is φ = 24192.

The previous prime is 91529. The next prime is 91541. The reversal of 91530 is 3519.

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 13689 = 279^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91530.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 754 + ... + 866.

2⁹¹⁵³⁰ is an apocalyptic number.

91530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146).

91530 is an abundant number, since it is smaller than the sum of its proper divisors (156762).

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

91530 is a wasteful number, since it uses less digits than its factorization.

91530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 91530 is about 302.5392536515. The cubic root of 91530 is about 45.0665681444.

The spelling of 91530 in words is "ninety-one thousand, five hundred thirty".