32913 has 16 divisors (see below), whose sum is σ = 51840. Its totient is φ = 20592.

The previous prime is 32911. The next prime is 32917. The reversal of 32913 is 31923.

It is not a de Polignac number, because 32913 - 2¹ = 32911 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2³²⁹¹³ is an apocalyptic number.

It is an amenable number.

32913 is a deficient number, since it is larger than the sum of its proper divisors (18927).

32913 is a wasteful number, since it uses less digits than its factorization.

32913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 32913 is about 181.4194035929. The cubic root of 32913 is about 32.0471310699.

Subtracting from 32913 its reverse (31923), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 3 and 2913, that added together give a square (2916 = 54²).

The spelling of 32913 in words is "thirty-two thousand, nine hundred thirteen".