32552 has 16 divisors (see below), whose sum is σ = 65940. Its totient is φ = 14976.

The previous prime is 32537. The next prime is 32561. The reversal of 32552 is 25523.

32552 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 8836 = 154^2 + 94^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

32552 is an undulating number in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 32552.

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 32552.

It is an unprimeable number.

32552 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, 53 + ... + 260.

2³²⁵⁵² is an apocalyptic number.

It is an amenable number.

32552 is an abundant number, since it is smaller than the sum of its proper divisors (33388).

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 (32970).

32552 is a wasteful number, since it uses less digits than its factorization.

32552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 32552 is about 180.4217281815. The cubic root of 32552 is about 31.9295324365.

It can be divided in two parts, 325 and 52, that multiplied together give a square (16900 = 130²).

The spelling of 32552 in words is "thirty-two thousand, five hundred fifty-two".