82945152 has 96 divisors (see below), whose sum is σ = 241663500. Its totient is φ = 27303936.

The previous prime is 82945147. The next prime is 82945169. The reversal of 82945152 is 25154928.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 207936 = 9096^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102124 + ... + 102932.

Almost surely, 2^82945152 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 82945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120831750).

82945152 is an abundant number, since it is smaller than the sum of its proper divisors (158718348).

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

82945152 is a wasteful number, since it uses less digits than its factorization.

82945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

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

The square root of 82945152 is about 9107.4229066185. The cubic root of 82945152 is about 436.1109612932.

82945152 divided by its sum of digits (36) gives a palindrome (2304032).

The spelling of 82945152 in words is "eighty-two million, nine hundred forty-five thousand, one hundred fifty-two".