82162674 has 112 divisors (see below), whose sum is σ = 207757440. Its totient is φ = 24144480.

The previous prime is 82162673. The next prime is 82162687. The reversal of 82162674 is 47626128.

82162674 is a `hidden beast` number, since 8 + 21 + 626 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (82162673) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 753732 + ... + 753840.

Almost surely, 2^82162674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82162674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103878720).

82162674 is an abundant number, since it is smaller than the sum of its proper divisors (125594766).

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

82162674 is a wasteful number, since it uses less digits than its factorization.

82162674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 82162674 is about 9064.3628568146. The cubic root of 82162674 is about 434.7352491252.

The spelling of 82162674 in words is "eighty-two million, one hundred sixty-two thousand, six hundred seventy-four".