82974 has 8 divisors (see below), whose sum is σ = 165960. Its totient is φ = 27656.

The previous prime is 82963. The next prime is 82981. The reversal of 82974 is 47928.

It is a sphenic number, since it is the product of 3 distinct primes.

82974 is an admirable number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6909 + ... + 6920.

It is an arithmetic number, because the mean of its divisors is an integer number (20745).

2⁸²⁹⁷⁴ is an apocalyptic number.

82974 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82980).

82974 is a wasteful number, since it uses less digits than its factorization.

82974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834.

The product of its digits is 4032, while the sum is 30.

The square root of 82974 is about 288.0520786247. The cubic root of 82974 is about 43.6161514663.

Subtracting from 82974 its sum of digits (30), we obtain a square (82944 = 288²).

It can be divided in two parts, 829 and 74, that added together give a triangular number (903 = T₄₂).

The spelling of 82974 in words is "eighty-two thousand, nine hundred seventy-four".