82731 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 47520.

The previous prime is 82729. The next prime is 82757. The reversal of 82731 is 13728.

It is not a de Polignac number, because 82731 - 2¹ = 82729 is a prime.

It is a super-2 number, since 2×82731² = 13688836722, which contains 22 as substring.

It is an Ulam number.

82731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 82698 and 82707.

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 in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁸²⁷³¹ is an apocalyptic number.

82731 is a deficient number, since it is larger than the sum of its proper divisors (43989).

82731 is a wasteful number, since it uses less digits than its factorization.

82731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146.

The product of its digits is 336, while the sum is 21.

The square root of 82731 is about 287.6299706220. The cubic root of 82731 is about 43.5735313353.

It can be divided in two parts, 827 and 31, that added together give a palindrome (858).

The spelling of 82731 in words is "eighty-two thousand, seven hundred thirty-one".