82582405 has 16 divisors (see below), whose sum is σ = 102587184. Its totient is φ = 63774720.

The previous prime is 82582399. The next prime is 82582411. The reversal of 82582405 is 50428528.

It is an interprime number because it is at equal distance from previous prime (82582399) and next prime (82582411).

It can be written as a sum of positive squares in 8 ways, for example, as 35605089 + 46977316 = 5967^2 + 6854^2 .

It is not a de Polignac number, because 82582405 - 2⁹ = 82581893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17809 + ... + 21961.

It is an arithmetic number, because the mean of its divisors is an integer number (6411699).

Almost surely, 2^82582405 is an apocalyptic number.

It is an amenable number.

82582405 is a deficient number, since it is larger than the sum of its proper divisors (20004779).

82582405 is a wasteful number, since it uses less digits than its factorization.

82582405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296.

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 82582405 is about 9087.4861760555. The cubic root of 82582405 is about 435.4742790256.

The spelling of 82582405 in words is "eighty-two million, five hundred eighty-two thousand, four hundred five".