33801373 has 2 divisors, whose sum is σ = 33801374. Its totient is φ = 33801372.

The previous prime is 33801347. The next prime is 33801379. The reversal of 33801373 is 37310833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33790969 + 10404 = 5813^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 33801373 - 2²⁵ = 246941 is a prime.

It is a super-2 number, since 2×33801373² = 2285065633370258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33801379) 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, 16900686 + 16900687.

It is an arithmetic number, because the mean of its divisors is an integer number (16900687).

Almost surely, 2^33801373 is an apocalyptic number.

It is an amenable number.

33801373 is a deficient number, since it is larger than the sum of its proper divisors (1).

33801373 is an equidigital number, since it uses as much as digits as its factorization.

33801373 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33801373 is about 5813.8948218901. The cubic root of 33801373 is about 323.3290904133.

It can be divided in two parts, 3380 and 1373, that added together give a triangular number (4753 = T₉₇).

The spelling of 33801373 in words is "thirty-three million, eight hundred one thousand, three hundred seventy-three".