82149256 has 64 divisors (see below), whose sum is σ = 184320000. Its totient is φ = 33583680.

The previous prime is 82149251. The next prime is 82149283. The reversal of 82149256 is 65294128.

It is a super-2 number, since 2×82149256² = 13497000522707072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82149251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136845 + ... + 137443.

It is an arithmetic number, because the mean of its divisors is an integer number (2880000).

Almost surely, 2^82149256 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 82149256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160000).

82149256 is an abundant number, since it is smaller than the sum of its proper divisors (102170744).

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

82149256 is a wasteful number, since it uses less digits than its factorization.

82149256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 82149256 is about 9063.6226752883. The cubic root of 82149256 is about 434.7115822748.

The spelling of 82149256 in words is "eighty-two million, one hundred forty-nine thousand, two hundred fifty-six".