33979313 has 8 divisors (see below), whose sum is σ = 34310760. Its totient is φ = 33649920.

The previous prime is 33979291. The next prime is 33979367. The reversal of 33979313 is 31397933.

33979313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8254129 + 25725184 = 2873^2 + 5072^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33979313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33979613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66503 + ... + 67011.

It is an arithmetic number, because the mean of its divisors is an integer number (4288845).

Almost surely, 2^33979313 is an apocalyptic number.

It is an amenable number.

33979313 is a deficient number, since it is larger than the sum of its proper divisors (331447).

33979313 is a wasteful number, since it uses less digits than its factorization.

33979313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027.

The product of its digits is 45927, while the sum is 38.

The square root of 33979313 is about 5829.1777293200. The cubic root of 33979313 is about 323.8954630238.

The spelling of 33979313 in words is "thirty-three million, nine hundred seventy-nine thousand, three hundred thirteen".