82582794 has 64 divisors (see below), whose sum is σ = 210988800. Its totient is φ = 23454144.

The previous prime is 82582781. The next prime is 82582849. The reversal of 82582794 is 49728528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73912 + ... + 75020.

It is an arithmetic number, because the mean of its divisors is an integer number (3296700).

Almost surely, 2^82582794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82582794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105494400).

82582794 is an abundant number, since it is smaller than the sum of its proper divisors (128406006).

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

82582794 is a wasteful number, since it uses less digits than its factorization.

82582794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82582794 is about 9087.5075790890. The cubic root of 82582794 is about 435.4749627839.

The spelling of 82582794 in words is "eighty-two million, five hundred eighty-two thousand, seven hundred ninety-four".