82205552 has 160 divisors (see below), whose sum is σ = 206653440. Its totient is φ = 31104000.

The previous prime is 82205549. The next prime is 82205561. The reversal of 82205552 is 25550228.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347602 + ... + 1347662.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^82205552 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 82205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103326720).

82205552 is an abundant number, since it is smaller than the sum of its proper divisors (124447888).

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

82205552 is a wasteful number, since it uses less digits than its factorization.

82205552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 82205552 is about 9066.7277448923. The cubic root of 82205552 is about 434.8108606546.

The spelling of 82205552 in words is "eighty-two million, two hundred five thousand, five hundred fifty-two".