82582420 has 24 divisors (see below), whose sum is σ = 180964224. Its totient is φ = 31596576.

The previous prime is 82582411. The next prime is 82582429. The reversal of 82582420 is 2428528.

It is an interprime number because it is at equal distance from previous prime (82582411) and next prime (82582429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89304 + ... + 90223.

It is an arithmetic number, because the mean of its divisors is an integer number (7540176).

Almost surely, 2^82582420 is an apocalyptic number.

It is an amenable number.

82582420 is an abundant number, since it is smaller than the sum of its proper divisors (98381804).

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

82582420 is a wasteful number, since it uses less digits than its factorization.

82582420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179559 (or 179557 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 82582420 is about 9087.4870013662. The cubic root of 82582420 is about 435.4743053916.

The spelling of 82582420 in words is "eighty-two million, five hundred eighty-two thousand, four hundred twenty".