82908 has 54 divisors (see below), whose sum is σ = 248976. Its totient is φ = 23184.

The previous prime is 82903. The next prime is 82913. The reversal of 82908 is 80928.

It is an interprime number because it is at equal distance from previous prime (82903) and next prime (82913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82903) by changing a digit.

82908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1741 + ... + 1787.

2⁸²⁹⁰⁸ 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 82908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

82908 is an abundant number, since it is smaller than the sum of its proper divisors (166068).

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

82908 is a wasteful number, since it uses less digits than its factorization.

82908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82908 is about 287.9374932168. The cubic root of 82908 is about 43.6045838684.

It can be divided in two parts, 82 and 908, that added together give a triangular number (990 = T₄₄).

The spelling of 82908 in words is "eighty-two thousand, nine hundred eight".