32550 has 48 divisors (see below), whose sum is σ = 95232. Its totient is φ = 7200.

The previous prime is 32537. The next prime is 32561. The reversal of 32550 is 5523.

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

It is a Curzon number.

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 32550.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2³²⁵⁵⁰ is an apocalyptic number.

32550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616).

32550 is an abundant number, since it is smaller than the sum of its proper divisors (62682).

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

32550 is a wasteful number, since it uses less digits than its factorization.

32550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 32550 is about 180.4161855267. The cubic root of 32550 is about 31.9288785046.

Subtracting from 32550 its product of nonzero digits (150), we obtain a square (32400 = 180²).

The spelling of 32550 in words is "thirty-two thousand, five hundred fifty".