82252820 has 96 divisors (see below), whose sum is σ = 195084288. Its totient is φ = 28933632.

The previous prime is 82252777. The next prime is 82252879. The reversal of 82252820 is 2825228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647597 + ... + 647723.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^82252820 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 82252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

82252820 is an abundant number, since it is smaller than the sum of its proper divisors (112831468).

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

82252820 is a wasteful number, since it uses less digits than its factorization.

82252820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 82252820 is about 9069.3340439086. The cubic root of 82252820 is about 434.8941830956.

The spelling of 82252820 in words is "eighty-two million, two hundred fifty-two thousand, eight hundred twenty".