82500888 has 64 divisors (see below), whose sum is σ = 218304000. Its totient is φ = 25909632.

The previous prime is 82500883. The next prime is 82500893. The reversal of 82500888 is 88800528.

It is a Cunningham number, because it is equal to 9083²-1.

It is an interprime number because it is at equal distance from previous prime (82500883) and next prime (82500893).

82500888 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82500883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108606 + ... + 109362.

It is an arithmetic number, because the mean of its divisors is an integer number (3411000).

Almost surely, 2^82500888 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 82500888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109152000).

82500888 is an abundant number, since it is smaller than the sum of its proper divisors (135803112).

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

82500888 is a wasteful number, since it uses less digits than its factorization.

82500888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 82500888 is about 9082.9999449521. Note that the first 4 decimals coincide. The cubic root of 82500888 is about 435.3309464621.

The spelling of 82500888 in words is "eighty-two million, five hundred thousand, eight hundred eighty-eight".