82589052 has 96 divisors (see below), whose sum is σ = 241823232. Its totient is φ = 21355776.

The previous prime is 82589051. The next prime is 82589057. The reversal of 82589052 is 25098528.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82589052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82589051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57163 + ... + 58589.

It is an arithmetic number, because the mean of its divisors is an integer number (2518992).

Almost surely, 2^82589052 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 82589052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120911616).

82589052 is an abundant number, since it is smaller than the sum of its proper divisors (159234180).

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

82589052 is a wasteful number, since it uses less digits than its factorization.

82589052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 82589052 is about 9087.8518913988. The cubic root of 82589052 is about 435.4859623855.

The spelling of 82589052 in words is "eighty-two million, five hundred eighty-nine thousand, fifty-two".