82565574 has 128 divisors (see below), whose sum is σ = 215319552. Its totient is φ = 20528640.

The previous prime is 82565563. The next prime is 82565591. The reversal of 82565574 is 47556528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232289 + ... + 1232355.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^82565574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82565574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107659776).

82565574 is an abundant number, since it is smaller than the sum of its proper divisors (132753978).

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

82565574 is a wasteful number, since it uses less digits than its factorization.

82565574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its digits is 336000, while the sum is 42.

The square root of 82565574 is about 9086.5600751880. The cubic root of 82565574 is about 435.4446925554. Note that the first 3 decimals are identical.

The spelling of 82565574 in words is "eighty-two million, five hundred sixty-five thousand, five hundred seventy-four".