83731 has 8 divisors (see below), whose sum is σ = 89984. Its totient is φ = 77760.

The previous prime is 83719. The next prime is 83737. The reversal of 83731 is 13738.

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

It is a 6-Lehmer number, since φ(83731) divides (83731-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 83731 - 2⁹ = 83219 is a prime.

It is a super-2 number, since 2×83731² = 14021760722, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (83737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 1183.

It is an arithmetic number, because the mean of its divisors is an integer number (11248).

2⁸³⁷³¹ is an apocalyptic number.

83731 is a deficient number, since it is larger than the sum of its proper divisors (6253).

83731 is a wasteful number, since it uses less digits than its factorization.

83731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its digits is 504, while the sum is 22.

The square root of 83731 is about 289.3630937075. The cubic root of 83731 is about 43.7483917776.

It can be divided in two parts, 837 and 31, that added together give a palindrome (868).

The spelling of 83731 in words is "eighty-three thousand, seven hundred thirty-one".