33679013 has 2 divisors, whose sum is σ = 33679014. Its totient is φ = 33679012.

The previous prime is 33678979. The next prime is 33679033. The reversal of 33679013 is 31097633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30658369 + 3020644 = 5537^2 + 1738^2 .

It is a cyclic number.

It is not a de Polignac number, because 33679013 - 2⁶ = 33678949 is a prime.

It is a super-2 number, since 2×33679013² = 2268551833308338, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33679033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16839506 + 16839507.

It is an arithmetic number, because the mean of its divisors is an integer number (16839507).

Almost surely, 2^33679013 is an apocalyptic number.

It is an amenable number.

33679013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33679013 is an equidigital number, since it uses as much as digits as its factorization.

33679013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 33679013 is about 5803.3622151301. The cubic root of 33679013 is about 322.9384713481.

The spelling of 33679013 in words is "thirty-three million, six hundred seventy-nine thousand, thirteen".