83577964 has 24 divisors (see below), whose sum is σ = 148523760. Its totient is φ = 41147904.

The previous prime is 83577959. The next prime is 83577973. The reversal of 83577964 is 46977538.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80392 + ... + 81424.

It is an arithmetic number, because the mean of its divisors is an integer number (6188490).

Almost surely, 2^83577964 is an apocalyptic number.

It is an amenable number.

83577964 is a deficient number, since it is larger than the sum of its proper divisors (64945796).

83577964 is a wasteful number, since it uses less digits than its factorization.

83577964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1327 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 83577964 is about 9142.0984461993. The cubic root of 83577964 is about 437.2172239623.

The spelling of 83577964 in words is "eighty-three million, five hundred seventy-seven thousand, nine hundred sixty-four".