33613 has 2 divisors, whose sum is σ = 33614. Its totient is φ = 33612.

The previous prime is 33601. The next prime is 33617. The reversal of 33613 is 31633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 8649 = 158^2 + 93^2 .

33613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 33613 - 2⁵ = 33581 is a prime.

It is a super-2 number, since 2×33613² = 2259667538, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33617) 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, 16806 + 16807.

It is an arithmetic number, because the mean of its divisors is an integer number (16807).

2³³⁶¹³ is an apocalyptic number.

It is an amenable number.

33613 is a deficient number, since it is larger than the sum of its proper divisors (1).

33613 is an equidigital number, since it uses as much as digits as its factorization.

33613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 16.

The square root of 33613 is about 183.3384847761. The cubic root of 33613 is about 32.2727340054.

It can be divided in two parts, 3361 and 3, that added together give a square (3364 = 58²).

The spelling of 33613 in words is "thirty-three thousand, six hundred thirteen".