82173312 has 256 divisors, whose sum is σ = 274176000. Its totient is φ = 24053760.

The previous prime is 82173241. The next prime is 82173361. The reversal of 82173312 is 21337128.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392739 + ... + 1392797.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^82173312 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 82173312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

82173312 is an abundant number, since it is smaller than the sum of its proper divisors (192002688).

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

82173312 is a wasteful number, since it uses less digits than its factorization.

82173312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 82173312 is about 9064.9496413383. The cubic root of 82173312 is about 434.7540107428.

The spelling of 82173312 in words is "eighty-two million, one hundred seventy-three thousand, three hundred twelve".