82920552 has 128 divisors (see below), whose sum is σ = 250508160. Its totient is φ = 22533120.

The previous prime is 82920529. The next prime is 82920553. The reversal of 82920552 is 25502928.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82920553) by changing a digit.

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, 126658 + ... + 127310.

It is an arithmetic number, because the mean of its divisors is an integer number (1957095).

Almost surely, 2^82920552 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 82920552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254080).

82920552 is an abundant number, since it is smaller than the sum of its proper divisors (167587608).

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

82920552 is a wasteful number, since it uses less digits than its factorization.

82920552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 82920552 is about 9106.0722597616. The cubic root of 82920552 is about 436.0678428784.

The spelling of 82920552 in words is "eighty-two million, nine hundred twenty thousand, five hundred fifty-two".