32953 has 4 divisors (see below), whose sum is σ = 34048. Its totient is φ = 31860.

The previous prime is 32941. The next prime is 32957. The reversal of 32953 is 35923.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 32953 - 2⁹ = 32441 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 501 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2³²⁹⁵³ is an apocalyptic number.

It is an amenable number.

32953 is a deficient number, since it is larger than the sum of its proper divisors (1095).

32953 is a wasteful number, since it uses less digits than its factorization.

32953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094.

The product of its digits is 810, while the sum is 22.

The square root of 32953 is about 181.5296119095. The cubic root of 32953 is about 32.0601083767.

The spelling of 32953 in words is "thirty-two thousand, nine hundred fifty-three".