33996312 has 48 divisors (see below), whose sum is σ = 105228240. Its totient is φ = 9713088.

The previous prime is 33996299. The next prime is 33996317. The reversal of 33996312 is 21369933.

It is a happy number.

33996312 is a `hidden beast` number, since 339 + 9 + 6 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33996317) 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, 33223 + ... + 34230.

It is an arithmetic number, because the mean of its divisors is an integer number (2192255).

Almost surely, 2^33996312 is an apocalyptic number.

It is an amenable number.

33996312 is an abundant number, since it is smaller than the sum of its proper divisors (71231928).

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

33996312 is a wasteful number, since it uses less digits than its factorization.

33996312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67472 (or 67465 counting only the distinct ones).

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

The square root of 33996312 is about 5830.6356428781. The cubic root of 33996312 is about 323.9494662843.

The spelling of 33996312 in words is "thirty-three million, nine hundred ninety-six thousand, three hundred twelve".