8731 has 2 divisors, whose sum is σ = 8732. Its totient is φ = 8730.

The previous prime is 8719. The next prime is 8737. The reversal of 8731 is 1378.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8731 - 2⁵ = 8699 is a prime.

It is a super-2 number, since 2×8731² = 152460722, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8699 and 8708.

It is not a weakly prime, because it can be changed into another prime (8737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4365 + 4366.

It is an arithmetic number, because the mean of its divisors is an integer number (4366).

8731 is a deficient number, since it is larger than the sum of its proper divisors (1).

8731 is an equidigital number, since it uses as much as digits as its factorization.

8731 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 19.

The square root of 8731 is about 93.4398202053. The cubic root of 8731 is about 20.5915005625.

The spelling of 8731 in words is "eight thousand, seven hundred thirty-one".