82182590 has 32 divisors (see below), whose sum is σ = 179008704. Its totient is φ = 26519040.

The previous prime is 82182563. The next prime is 82182593. The reversal of 82182590 is 9528128.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82182590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82182593) 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 15 ways as a sum of consecutive naturals, for example, 33341 + ... + 35720.

It is an arithmetic number, because the mean of its divisors is an integer number (5594022).

Almost surely, 2^82182590 is an apocalyptic number.

82182590 is an abundant number, since it is smaller than the sum of its proper divisors (96826114).

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

82182590 is a wasteful number, since it uses less digits than its factorization.

82182590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69092.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 82182590 is about 9065.4613782201. The cubic root of 82182590 is about 434.7703724861.

The spelling of 82182590 in words is "eighty-two million, one hundred eighty-two thousand, five hundred ninety".