82981152 has 48 divisors (see below), whose sum is σ = 242030880. Its totient is φ = 27660096.

The previous prime is 82981139. The next prime is 82981153. The reversal of 82981152 is 25118928.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (82981153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47158 + ... + 48885.

It is an arithmetic number, because the mean of its divisors is an integer number (5042310).

Almost surely, 2^82981152 is an apocalyptic number.

It is an amenable number.

82981152 is an abundant number, since it is smaller than the sum of its proper divisors (159049728).

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

82981152 is a wasteful number, since it uses less digits than its factorization.

82981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96062 (or 96048 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 82981152 is about 9109.3991020264. The cubic root of 82981152 is about 436.1740460482.

82981152 divided by its sum of digits (36) gives a palindrome (2305032).

The spelling of 82981152 in words is "eighty-two million, nine hundred eighty-one thousand, one hundred fifty-two".