8631 has 12 divisors (see below), whose sum is σ = 14352. Its totient is φ = 4896.

The previous prime is 8629. The next prime is 8641. The reversal of 8631 is 1368.

8631 = 18² + 19² + ... + 31².

8631 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8631 - 2¹ = 8629 is a prime.

It is a super-2 number, since 2×8631² = 148988322, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8631.

It is not an unprimeable number, because it can be changed into a prime (8641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1196).

8631 is a deficient number, since it is larger than the sum of its proper divisors (5721).

8631 is a wasteful number, since it uses less digits than its factorization.

8631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 8631 is about 92.9031754032. The cubic root of 8631 is about 20.5125839850.

Adding to 8631 its sum of digits (18), we get a square (8649 = 93²).

Adding to 8631 its reverse (1368), we get a palindrome (9999).

The spelling of 8631 in words is "eight thousand, six hundred thirty-one".