4931 has 2 divisors, whose sum is σ = 4932. Its totient is φ = 4930.

The previous prime is 4919. The next prime is 4933. The reversal of 4931 is 1394.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4931 - 2¹⁰ = 3907 is a prime.

It is a super-2 number, since 2×4931² = 48629522, which contains 22 as substring.

Together with 4933, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4931.

It is not a weakly prime, because it can be changed into another prime (4933) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2465 + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (2466).

2⁴⁹³¹ is an apocalyptic number.

4931 is a deficient number, since it is larger than the sum of its proper divisors (1).

4931 is an equidigital number, since it uses as much as digits as its factorization.

4931 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108, while the sum is 17.

The square root of 4931 is about 70.2210794562. The cubic root of 4931 is about 17.0207359425.

It can be divided in two parts, 493 and 1, that added together give a palindrome (494).

The spelling of 4931 in words is "four thousand, nine hundred thirty-one".