93552 has 20 divisors (see below), whose sum is σ = 241800. Its totient is φ = 31168.

The previous prime is 93529. The next prime is 93553. The reversal of 93552 is 25539.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93553) by changing a digit.

93552 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 3 ways as a sum of consecutive naturals, for example, 927 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2⁹³⁵⁵² is an apocalyptic number.

It is an amenable number.

93552 is an abundant number, since it is smaller than the sum of its proper divisors (148248).

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 (120900).

93552 is a wasteful number, since it uses less digits than its factorization.

93552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1954 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 93552 is about 305.8627143017. The cubic root of 93552 is about 45.3960109571.

Subtracting from 93552 its sum of digits (24), we obtain a triangular number (93528 = T₄₃₂).

The spelling of 93552 in words is "ninety-three thousand, five hundred fifty-two".