32979345 has 64 divisors (see below), whose sum is σ = 64757760. Its totient is φ = 13996800.

The previous prime is 32979341. The next prime is 32979347. The reversal of 32979345 is 54397923.

It is not a de Polignac number, because 32979345 - 2² = 32979341 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 32979297 and 32979306.

It is not an unprimeable number, because it can be changed into a prime (32979341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121560 + ... + 121830.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 2^32979345 is an apocalyptic number.

32979345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32979345 is a deficient number, since it is larger than the sum of its proper divisors (31778415).

32979345 is a wasteful number, since it uses less digits than its factorization.

32979345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its digits is 204120, while the sum is 42.

The square root of 32979345 is about 5742.7645781453. The cubic root of 32979345 is about 320.6864982027.

The spelling of 32979345 in words is "thirty-two million, nine hundred seventy-nine thousand, three hundred forty-five".