33913 has 4 divisors (see below), whose sum is σ = 37008. Its totient is φ = 30820.

The previous prime is 33911. The next prime is 33923. The reversal of 33913 is 31933.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31933 = 11 ⋅2903.

It is a cyclic number.

It is not a de Polignac number, because 33913 - 2¹ = 33911 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33911) 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 in 3 ways as a sum of consecutive naturals, for example, 1531 + ... + 1552.

It is an arithmetic number, because the mean of its divisors is an integer number (9252).

2³³⁹¹³ is an apocalyptic number.

It is an amenable number.

33913 is a deficient number, since it is larger than the sum of its proper divisors (3095).

33913 is a wasteful number, since it uses less digits than its factorization.

33913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094.

The product of its digits is 243, while the sum is 19.

The square root of 33913 is about 184.1548261654. The cubic root of 33913 is about 32.3684624277.

Subtracting from 33913 its product of digits (243), we obtain a triangular number (33670 = T₂₅₉).

It can be divided in two parts, 33 and 913, that added together give a triangular number (946 = T₄₃).

The spelling of 33913 in words is "thirty-three thousand, nine hundred thirteen".