33189905 has 12 divisors (see below), whose sum is σ = 46330740. Its totient is φ = 22758624.

The previous prime is 33189901. The next prime is 33189907. The reversal of 33189905 is 50998133.

It can be written as a sum of positive squares in 2 ways, for example, as 12103441 + 21086464 = 3479^2 + 4592^2 .

It is not a de Polignac number, because 33189905 - 2² = 33189901 is a prime.

It is a super-2 number, since 2×33189905² = 2203139587818050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33189901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67490 + ... + 67979.

It is an arithmetic number, because the mean of its divisors is an integer number (3860895).

Almost surely, 2^33189905 is an apocalyptic number.

33189905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33189905 is a deficient number, since it is larger than the sum of its proper divisors (13140835).

33189905 is a wasteful number, since it uses less digits than its factorization.

33189905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135488 (or 135481 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 33189905 is about 5761.0680433406. The cubic root of 33189905 is about 321.3675361122.

The spelling of 33189905 in words is "thirty-three million, one hundred eighty-nine thousand, nine hundred five".