82464984 has 48 divisors (see below), whose sum is σ = 255250320. Its totient is φ = 23561280.

The previous prime is 82464983. The next prime is 82464989. The reversal of 82464984 is 48946428.

It is a super-2 number, since 2×82464984² = 13600947172240512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82464983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81307 + ... + 82314.

It is an arithmetic number, because the mean of its divisors is an integer number (5317715).

Almost surely, 2^82464984 is an apocalyptic number.

82464984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82464984 is an abundant number, since it is smaller than the sum of its proper divisors (172785336).

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

82464984 is a wasteful number, since it uses less digits than its factorization.

82464984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163640 (or 163633 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82464984 is about 9081.0232903567. The cubic root of 82464984 is about 435.2677859693.

The spelling of 82464984 in words is "eighty-two million, four hundred sixty-four thousand, nine hundred eighty-four".