82317984 has 48 divisors (see below), whose sum is σ = 246955968. Its totient is φ = 23519232.

The previous prime is 82317973. The next prime is 82318001. The reversal of 82317984 is 48971328.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 60577 + ... + 61920.

It is an arithmetic number, because the mean of its divisors is an integer number (5144916).

Almost surely, 2^82317984 is an apocalyptic number.

82317984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82317984 is an abundant number, since it is smaller than the sum of its proper divisors (164637984).

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

82317984 is a wasteful number, since it uses less digits than its factorization.

82317984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122517 (or 122509 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 82317984 is about 9072.9258786788. The cubic root of 82317984 is about 435.0089996817.

The spelling of 82317984 in words is "eighty-two million, three hundred seventeen thousand, nine hundred eighty-four".