33713 has 2 divisors, whose sum is σ = 33714. Its totient is φ = 33712.

The previous prime is 33703. The next prime is 33721. The reversal of 33713 is 31733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 10609 = 152^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 33713 - 2⁸ = 33457 is a prime.

It is a super-2 number, since 2×33713² = 2273132738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 33691 and 33700.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33713.

It is not a weakly prime, because it can be changed into another prime (33703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16856 + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (16857).

2³³⁷¹³ is an apocalyptic number.

It is an amenable number.

33713 is a deficient number, since it is larger than the sum of its proper divisors (1).

33713 is an equidigital number, since it uses as much as digits as its factorization.

33713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 17.

The square root of 33713 is about 183.6110018490. The cubic root of 33713 is about 32.3047065384.

The spelling of 33713 in words is "thirty-three thousand, seven hundred thirteen".