33914124 has 36 divisors (see below), whose sum is σ = 88495680. Its totient is φ = 10939680.

The previous prime is 33914081. The next prime is 33914129. The reversal of 33914124 is 42141933.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33914129) 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 in 11 ways as a sum of consecutive naturals, for example, 14079 + ... + 16310.

Almost surely, 2^33914124 is an apocalyptic number.

It is an amenable number.

33914124 is an abundant number, since it is smaller than the sum of its proper divisors (54581556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33914124 is a wasteful number, since it uses less digits than its factorization.

33914124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30430 (or 30425 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33914124 is about 5823.5834329045. The cubic root of 33914124 is about 323.6882002660.

The spelling of 33914124 in words is "thirty-three million, nine hundred fourteen thousand, one hundred twenty-four".