82374 has 8 divisors (see below), whose sum is σ = 164760. Its totient is φ = 27456.

The previous prime is 82373. The next prime is 82387. The reversal of 82374 is 47328.

82374 = 142² + 143² + ... + 145².

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

82374 is an admirable number.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 3³ + 7⁵ + 4 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82373) by changing a digit.

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, 6859 + ... + 6870.

It is an arithmetic number, because the mean of its divisors is an integer number (20595).

2⁸²³⁷⁴ is an apocalyptic number.

82374 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 (82380).

82374 is a wasteful number, since it uses less digits than its factorization.

82374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734.

The product of its digits is 1344, while the sum is 24.

The square root of 82374 is about 287.0087106692. The cubic root of 82374 is about 43.5107649405.

The spelling of 82374 in words is "eighty-two thousand, three hundred seventy-four".