82724 has 6 divisors (see below), whose sum is σ = 144774. Its totient is φ = 41360.

The previous prime is 82723. The next prime is 82727. The reversal of 82724 is 42728.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 28900 = 232^2 + 170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82724.

It is not an unprimeable number, because it can be changed into a prime (82721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10337 + ... + 10344.

It is an arithmetic number, because the mean of its divisors is an integer number (24129).

2⁸²⁷²⁴ is an apocalyptic number.

It is an amenable number.

82724 is a deficient number, since it is larger than the sum of its proper divisors (62050).

82724 is a wasteful number, since it uses less digits than its factorization.

82724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20685 (or 20683 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 82724 is about 287.6178019525. The cubic root of 82724 is about 43.5723023590.

The spelling of 82724 in words is "eighty-two thousand, seven hundred twenty-four".