33993126 has 48 divisors (see below), whose sum is σ = 78534144. Its totient is φ = 10601712.

The previous prime is 33993119. The next prime is 33993137. The reversal of 33993126 is 62139933.

It is a happy number.

33993126 is a `hidden beast` number, since 339 + 9 + 312 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18585 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (1636128).

Almost surely, 2^33993126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33993126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267072).

33993126 is an abundant number, since it is smaller than the sum of its proper divisors (44541018).

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

33993126 is a wasteful number, since it uses less digits than its factorization.

33993126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1822 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 33993126 is about 5830.3624244124. The cubic root of 33993126 is about 323.9393462136.

The spelling of 33993126 in words is "thirty-three million, nine hundred ninety-three thousand, one hundred twenty-six".