82173888 has 84 divisors (see below), whose sum is σ = 237149640. Its totient is φ = 27204096.

The previous prime is 82173863. The next prime is 82173899. The reversal of 82173888 is 88837128.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102706 + ... + 103502.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^82173888 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 82173888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574820).

82173888 is an abundant number, since it is smaller than the sum of its proper divisors (154975752).

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

82173888 is a wasteful number, since it uses less digits than its factorization.

82173888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 981 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 82173888 is about 9064.9814120052. The cubic root of 82173888 is about 434.7550265540.

The spelling of 82173888 in words is "eighty-two million, one hundred seventy-three thousand, eight hundred eighty-eight".