82508556 has 48 divisors (see below), whose sum is σ = 209309184. Its totient is φ = 25144896.

The previous prime is 82508551. The next prime is 82508561. The reversal of 82508556 is 65580528.

It is an interprime number because it is at equal distance from previous prime (82508551) and next prime (82508561).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (82508551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14221 + ... + 19163.

It is an arithmetic number, because the mean of its divisors is an integer number (4360608).

Almost surely, 2^82508556 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 82508556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104654592).

82508556 is an abundant number, since it is smaller than the sum of its proper divisors (126800628).

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

82508556 is a wasteful number, since it uses less digits than its factorization.

82508556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 82508556 is about 9083.4220423803. The cubic root of 82508556 is about 435.3444332434.

The spelling of 82508556 in words is "eighty-two million, five hundred eight thousand, five hundred fifty-six".