92532 has 24 divisors (see below), whose sum is σ = 235872. Its totient is φ = 28000.

The previous prime is 92507. The next prime is 92551. The reversal of 92532 is 23529.

It is a junction number, because it is equal to n+sod(n) for n = 92499 and 92508.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92532.

It is an unprimeable number.

92532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁹²⁵³² is an apocalyptic number.

It is an amenable number.

92532 is an abundant number, since it is smaller than the sum of its proper divisors (143340).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

92532 is a wasteful number, since it uses less digits than its factorization.

92532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 92532 is about 304.1907296418. The cubic root of 92532 is about 45.2304230405.

The spelling of 92532 in words is "ninety-two thousand, five hundred thirty-two".