82566162 has 64 divisors (see below), whose sum is σ = 211656960. Its totient is φ = 23369472.

The previous prime is 82566151. The next prime is 82566167. The reversal of 82566162 is 26166528.

82566162 is a `hidden beast` number, since 82 + 566 + 16 + 2 = 666.

It is a super-2 number, since 2×82566162² = 13634342214820488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82566167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41748 + ... + 43680.

It is an arithmetic number, because the mean of its divisors is an integer number (3307140).

Almost surely, 2^82566162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82566162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105828480).

82566162 is an abundant number, since it is smaller than the sum of its proper divisors (129090798).

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

82566162 is a wasteful number, since it uses less digits than its factorization.

82566162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82566162 is about 9086.5924306090. The cubic root of 82566162 is about 435.4457262424.

It can be divided in two parts, 82566 and 162, that added together give a palindrome (82728).

The spelling of 82566162 in words is "eighty-two million, five hundred sixty-six thousand, one hundred sixty-two".