182982312 has 96 divisors (see below), whose sum is σ = 525252000. Its totient is φ = 57386880.

The previous prime is 182982307. The next prime is 182982313. The reversal of 182982312 is 213289281.

182982312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (182982313) 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, 247239 + ... + 247977.

It is an arithmetic number, because the mean of its divisors is an integer number (5471375).

Almost surely, 2^182982312 is an apocalyptic number.

182982312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182982312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262626000).

182982312 is an abundant number, since it is smaller than the sum of its proper divisors (342269688).

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

182982312 is a wasteful number, since it uses less digits than its factorization.

182982312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 182982312 is about 13527.0954753783. The cubic root of 182982312 is about 567.7228446824.

The spelling of 182982312 in words is "one hundred eighty-two million, nine hundred eighty-two thousand, three hundred twelve".