82252920 has 64 divisors (see below), whose sum is σ = 254730240. Its totient is φ = 21225600.

The previous prime is 82252913. The next prime is 82252921. The reversal of 82252920 is 2925228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82252921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7336 + ... + 14775.

It is an arithmetic number, because the mean of its divisors is an integer number (3980160).

Almost surely, 2^82252920 is an apocalyptic number.

It is an amenable number.

82252920 is an abundant number, since it is smaller than the sum of its proper divisors (172477320).

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

82252920 is a wasteful number, since it uses less digits than its factorization.

82252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22156 (or 22152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82252920 is about 9069.3395569909. The cubic root of 82252920 is about 434.8943593384.

The spelling of 82252920 in words is "eighty-two million, two hundred fifty-two thousand, nine hundred twenty".