33979873 has 2 divisors, whose sum is σ = 33979874. Its totient is φ = 33979872.

The previous prime is 33979861. The next prime is 33979879. The reversal of 33979873 is 37897933.

33979873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 247009 = 5808^2 + 497^2 .

It is a cyclic number.

It is not a de Polignac number, because 33979873 - 2¹³ = 33971681 is a prime.

It is a super-2 number, since 2×33979873² = 2309263538192258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33979879) 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 as a sum of consecutive naturals, namely, 16989936 + 16989937.

It is an arithmetic number, because the mean of its divisors is an integer number (16989937).

Almost surely, 2^33979873 is an apocalyptic number.

It is an amenable number.

33979873 is a deficient number, since it is larger than the sum of its proper divisors (1).

33979873 is an equidigital number, since it uses as much as digits as its factorization.

33979873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 857304, while the sum is 49.

The square root of 33979873 is about 5829.2257633411. The cubic root of 33979873 is about 323.8972423462.

The spelling of 33979873 in words is "thirty-three million, nine hundred seventy-nine thousand, eight hundred seventy-three".