33830901 has 48 divisors (see below), whose sum is σ = 56727216. Its totient is φ = 19243008.

The previous prime is 33830893. The next prime is 33830911. The reversal of 33830901 is 10903833.

33830901 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 8 ways, for example, as 998001 + 32832900 = 999^2 + 5730^2 .

It is not a de Polignac number, because 33830901 - 2³ = 33830893 is a prime.

It is a super-2 number, since 2×33830901² = 2289059724943602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33830911) 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 47 ways as a sum of consecutive naturals, for example, 145081 + ... + 145313.

It is an arithmetic number, because the mean of its divisors is an integer number (1181817).

Almost surely, 2^33830901 is an apocalyptic number.

It is an amenable number.

33830901 is a deficient number, since it is larger than the sum of its proper divisors (22896315).

33830901 is a wasteful number, since it uses less digits than its factorization.

33830901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 33830901 is about 5816.4337011609. The cubic root of 33830901 is about 323.4232136377.

The spelling of 33830901 in words is "thirty-three million, eight hundred thirty thousand, nine hundred one".