82495152 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 25224192.

The previous prime is 82495141. The next prime is 82495159. The reversal of 82495152 is 25159428.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (82495159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345049 + ... + 345287.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^82495152 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 82495152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

82495152 is an abundant number, since it is smaller than the sum of its proper divisors (174631248).

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

82495152 is a wasteful number, since it uses less digits than its factorization.

82495152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 82495152 is about 9082.6841847551. The cubic root of 82495152 is about 435.3208572124.

The spelling of 82495152 in words is "eighty-two million, four hundred ninety-five thousand, one hundred fifty-two".