82403552 has 96 divisors (see below), whose sum is σ = 206406144. Its totient is φ = 31449600.

The previous prime is 82403527. The next prime is 82403561. The reversal of 82403552 is 25530428.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130277 + ... + 130907.

It is an arithmetic number, because the mean of its divisors is an integer number (2150064).

Almost surely, 2^82403552 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 82403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103203072).

82403552 is an abundant number, since it is smaller than the sum of its proper divisors (124002592).

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

82403552 is a wasteful number, since it uses less digits than its factorization.

82403552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 82403552 is about 9077.6402219960. The cubic root of 82403552 is about 435.1596753835.

The spelling of 82403552 in words is "eighty-two million, four hundred three thousand, five hundred fifty-two".