4937 has 2 divisors, whose sum is σ = 4938. Its totient is φ = 4936.

The previous prime is 4933. The next prime is 4943. The reversal of 4937 is 7394.

4937 is nontrivially palindromic in base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 841 = 64^2 + 29^2 .

4937 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 4937 - 2² = 4933 is a prime.

It is a Chen prime.

It is a plaindrome in base 11 and base 16.

It is not a weakly prime, because it can be changed into another prime (4931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2468 + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (2469).

2⁴⁹³⁷ is an apocalyptic number.

It is an amenable number.

4937 is a deficient number, since it is larger than the sum of its proper divisors (1).

4937 is an equidigital number, since it uses as much as digits as its factorization.

4937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 4937 is about 70.2637886824. The cubic root of 4937 is about 17.0276367079.

The spelling of 4937 in words is "four thousand, nine hundred thirty-seven".