83979564 has 12 divisors (see below), whose sum is σ = 195952344. Its totient is φ = 27993184.

The previous prime is 83979557. The next prime is 83979569. The reversal of 83979564 is 46597938.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (83979569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3499137 + ... + 3499160.

It is an arithmetic number, because the mean of its divisors is an integer number (16329362).

Almost surely, 2^83979564 is an apocalyptic number.

It is an amenable number.

83979564 is an abundant number, since it is smaller than the sum of its proper divisors (111972780).

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

83979564 is a wasteful number, since it uses less digits than its factorization.

83979564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998304 (or 6998302 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 83979564 is about 9164.0364468939. The cubic root of 83979564 is about 437.9163952935.

The spelling of 83979564 in words is "eighty-three million, nine hundred seventy-nine thousand, five hundred sixty-four".