82376 has 16 divisors (see below), whose sum is σ = 176640. Its totient is φ = 35280.

The previous prime is 82373. The next prime is 82387. The reversal of 82376 is 67328.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 3³ + 7⁵ + 6 .

It is a plaindrome in base 9.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (11040).

2⁸²³⁷⁶ is an apocalyptic number.

It is an amenable number.

82376 is an abundant number, since it is smaller than the sum of its proper divisors (94264).

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 (88320).

82376 is a wasteful number, since it uses less digits than its factorization.

82376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 82376 is about 287.0121948629. The cubic root of 82376 is about 43.5111170776.

The spelling of 82376 in words is "eighty-two thousand, three hundred seventy-six".