82250208 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 26218368.

The previous prime is 82250191. The next prime is 82250227. The reversal of 82250208 is 80205228.

It is a tau number, because it is divible by the number of its divisors (96).

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).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17803 + ... + 21941.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^82250208 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 82250208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

82250208 is an abundant number, since it is smaller than the sum of its proper divisors (168136992).

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

82250208 is a wasteful number, since it uses less digits than its factorization.

82250208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82250208 is about 9069.1900410125. The cubic root of 82250208 is about 434.8895795832.

The spelling of 82250208 in words is "eighty-two million, two hundred fifty thousand, two hundred eight".