33983136 has 144 divisors (see below), whose sum is σ = 111803328. Its totient is φ = 9676800.

The previous prime is 33983113. The next prime is 33983203. The reversal of 33983136 is 63138933.

33983136 is a `hidden beast` number, since 339 + 8 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 33983136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53541 + ... + 54171.

It is an arithmetic number, because the mean of its divisors is an integer number (776412).

Almost surely, 2^33983136 is an apocalyptic number.

33983136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33983136 is the 3366-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901664).

33983136 is an abundant number, since it is smaller than the sum of its proper divisors (77820192).

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

33983136 is a wasteful number, since it uses less digits than its factorization.

33983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 33983136 is about 5829.5056394175. The cubic root of 33983136 is about 323.9076096880.

The spelling of 33983136 in words is "thirty-three million, nine hundred eighty-three thousand, one hundred thirty-six".