82655892 has 72 divisors (see below), whose sum is σ = 232831872. Its totient is φ = 24508800.

The previous prime is 82655861. The next prime is 82655893. The reversal of 82655892 is 29855628.

82655892 is a `hidden beast` number, since 8 + 2 + 6 + 558 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82655893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16392 + ... + 20832.

It is an arithmetic number, because the mean of its divisors is an integer number (3233776).

Almost surely, 2^82655892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82655892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116415936).

82655892 is an abundant number, since it is smaller than the sum of its proper divisors (150175980).

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

82655892 is a wasteful number, since it uses less digits than its factorization.

82655892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4504 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 82655892 is about 9091.5285843471. The cubic root of 82655892 is about 435.6034114990.

The spelling of 82655892 in words is "eighty-two million, six hundred fifty-five thousand, eight hundred ninety-two".