33873013 has 2 divisors, whose sum is σ = 33873014. Its totient is φ = 33873012.

The previous prime is 33872977. The next prime is 33873017. The reversal of 33873013 is 31037833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27436644 + 6436369 = 5238^2 + 2537^2 .

It is a cyclic number.

It is not a de Polignac number, because 33873013 - 2¹⁷ = 33741941 is a prime.

It is a super-2 number, since 2×33873013² = 2294762019396338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33873017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936506 + 16936507.

It is an arithmetic number, because the mean of its divisors is an integer number (16936507).

Almost surely, 2^33873013 is an apocalyptic number.

It is an amenable number.

33873013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33873013 is an equidigital number, since it uses as much as digits as its factorization.

33873013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 33873013 is about 5820.0526629920. The cubic root of 33873013 is about 323.5573548181.

It can be divided in two parts, 3387 and 3013, that added together give a square (6400 = 80²).

The spelling of 33873013 in words is "thirty-three million, eight hundred seventy-three thousand, thirteen".