82023552 has 96 divisors (see below), whose sum is σ = 254233980. Its totient is φ = 25233408.

The previous prime is 82023547. The next prime is 82023563. The reversal of 82023552 is 25532028.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 2742336 = 8904^2 + 1656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12238 + ... + 17714.

Almost surely, 2^82023552 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 82023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127116990).

82023552 is an abundant number, since it is smaller than the sum of its proper divisors (172210428).

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

82023552 is a wasteful number, since it uses less digits than its factorization.

82023552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82023552 is about 9056.6854864238. The cubic root of 82023552 is about 434.4897385904.

The spelling of 82023552 in words is "eighty-two million, twenty-three thousand, five hundred fifty-two".