32553 has 6 divisors (see below), whose sum is σ = 47034. Its totient is φ = 21696.

The previous prime is 32537. The next prime is 32561. The reversal of 32553 is 35523.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 15129 = 132^2 + 123^2 .

It is not a de Polignac number, because 32553 - 2⁴ = 32537 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32553.

It is not an unprimeable number, because it can be changed into a prime (32503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1800 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (7839).

2³²⁵⁵³ is an apocalyptic number.

It is an amenable number.

32553 is a deficient number, since it is larger than the sum of its proper divisors (14481).

32553 is a wasteful number, since it uses less digits than its factorization.

32553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3620 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 32553 is about 180.4244994451. The cubic root of 32553 is about 31.9298593924.

It can be divided in two parts, 325 and 53, that added together give a triangular number (378 = T₂₇).

The spelling of 32553 in words is "thirty-two thousand, five hundred fifty-three".