82405845 has 48 divisors (see below), whose sum is σ = 150239232. Its totient is φ = 41731200.

The previous prime is 82405837. The next prime is 82405847. The reversal of 82405845 is 54850428.

It is not a de Polignac number, because 82405845 - 2³ = 82405837 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82405847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71020 + ... + 72170.

It is an arithmetic number, because the mean of its divisors is an integer number (3129984).

Almost surely, 2^82405845 is an apocalyptic number.

It is an amenable number.

82405845 is a deficient number, since it is larger than the sum of its proper divisors (67833387).

82405845 is a wasteful number, since it uses less digits than its factorization.

82405845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82405845 is about 9077.7665204609. The cubic root of 82405845 is about 435.1637116654.

The spelling of 82405845 in words is "eighty-two million, four hundred five thousand, eight hundred forty-five".