82123152 has 40 divisors (see below), whose sum is σ = 213114336. Its totient is φ = 27250176.

The previous prime is 82123127. The next prime is 82123183. The reversal of 82123152 is 25132128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7128 + ... + 14664.

Almost surely, 2^82123152 is an apocalyptic number.

It is an amenable number.

82123152 is an abundant number, since it is smaller than the sum of its proper divisors (130991184).

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

82123152 is a wasteful number, since it uses less digits than its factorization.

82123152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7769 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 82123152 is about 9062.1825185769. The cubic root of 82123152 is about 434.6655323008.

The spelling of 82123152 in words is "eighty-two million, one hundred twenty-three thousand, one hundred fifty-two".