4933 has 2 divisors, whose sum is σ = 4934. Its totient is φ = 4932.

The previous prime is 4931. The next prime is 4937. The reversal of 4933 is 3394.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 1089 = 62^2 + 33^2 .

It is a cyclic number.

It is not a de Polignac number, because 4933 - 2¹ = 4931 is a prime.

Together with 4931, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 4⁶ + 3³ + 9² + 3⁶ .

It is a plaindrome in base 15 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4933.

It is a congruent number.

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, 2466 + 2467.

It is an arithmetic number, because the mean of its divisors is an integer number (2467).

2⁴⁹³³ is an apocalyptic number.

It is an amenable number.

4933 is a deficient number, since it is larger than the sum of its proper divisors (1).

4933 is an equidigital number, since it uses as much as digits as its factorization.

4933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 19.

The square root of 4933 is about 70.2353187506. The cubic root of 4933 is about 17.0230368193.

It can be divided in two parts, 493 and 3, that added together give a triangular number (496 = T₃₁).

The spelling of 4933 in words is "four thousand, nine hundred thirty-three".