82155024 has 120 divisors (see below), whose sum is σ = 265012800. Its totient is φ = 23272704.

The previous prime is 82155019. The next prime is 82155037. The reversal of 82155024 is 42055128.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 149919 + ... + 150465.

It is an arithmetic number, because the mean of its divisors is an integer number (2208440).

Almost surely, 2^82155024 is an apocalyptic number.

82155024 is a gapful number since it is divisible by the number (84) 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 82155024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132506400).

82155024 is an abundant number, since it is smaller than the sum of its proper divisors (182857776).

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

82155024 is a wasteful number, since it uses less digits than its factorization.

82155024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82155024 is about 9063.9408647674. The cubic root of 82155024 is about 434.7217562672.

The spelling of 82155024 in words is "eighty-two million, one hundred fifty-five thousand, twenty-four".