7631 has 4 divisors (see below), whose sum is σ = 8232. Its totient is φ = 7032.

The previous prime is 7621. The next prime is 7639. The reversal of 7631 is 1367.

7631 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 7631 - 2¹⁰ = 6607 is a prime.

It is a super-3 number, since 3×7631³ = 1333108861773, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

It is a zygodrome in base 12.

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 7631.

It is not an unprimeable number, because it can be changed into a prime (7639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2⁷⁶³¹ is an apocalyptic number.

7631 is a deficient number, since it is larger than the sum of its proper divisors (601).

7631 is a wasteful number, since it uses less digits than its factorization.

7631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 126, while the sum is 17.

The square root of 7631 is about 87.3555951270. The cubic root of 7631 is about 19.6876471812.

Adding to 7631 its reverse (1367), we get a palindrome (8998).

The spelling of 7631 in words is "seven thousand, six hundred thirty-one".