32945913 has 128 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 14826240.

The previous prime is 32945903. The next prime is 32945921. The reversal of 32945913 is 31954923.

It is a happy number.

It is not a de Polignac number, because 32945913 - 2⁸ = 32945657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32945903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 621595 + ... + 621647.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^32945913 is an apocalyptic number.

32945913 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32945913 is an abundant number, since it is smaller than the sum of its proper divisors (36727047).

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

32945913 is a wasteful number, since it uses less digits than its factorization.

32945913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 32945913 is about 5739.8530468994. The cubic root of 32945913 is about 320.5780988816.

The spelling of 32945913 in words is "thirty-two million, nine hundred forty-five thousand, nine hundred thirteen".