82937484 has 72 divisors (see below), whose sum is σ = 240458400. Its totient is φ = 23611392.

The previous prime is 82937483. The next prime is 82937507. The reversal of 82937484 is 48473928.

82937484 is a `hidden beast` number, since 82 + 93 + 7 + 484 = 666.

It is not an unprimeable number, because it can be changed into a prime (82937483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112782 + ... + 113514.

It is an arithmetic number, because the mean of its divisors is an integer number (3339700).

Almost surely, 2^82937484 is an apocalyptic number.

82937484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82937484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120229200).

82937484 is an abundant number, since it is smaller than the sum of its proper divisors (157520916).

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

82937484 is a wasteful number, since it uses less digits than its factorization.

82937484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82937484 is about 9107.0019215986. The cubic root of 82937484 is about 436.0975218825.

The spelling of 82937484 in words is "eighty-two million, nine hundred thirty-seven thousand, four hundred eighty-four".