33768085 has 8 divisors (see below), whose sum is σ = 43638840. Its totient is φ = 24936384.

The previous prime is 33768079. The next prime is 33768089. The reversal of 33768085 is 58086733.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 33258289 = 714^2 + 5767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33768085 is a prime.

It is a super-2 number, since 2×33768085² = 2280567129134450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33768089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259690 + ... + 259819.

It is an arithmetic number, because the mean of its divisors is an integer number (5454855).

Almost surely, 2^33768085 is an apocalyptic number.

It is an amenable number.

33768085 is a deficient number, since it is larger than the sum of its proper divisors (9870755).

33768085 is a wasteful number, since it uses less digits than its factorization.

33768085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519527.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 33768085 is about 5811.0313198261. The cubic root of 33768085 is about 323.2229160885. Note that the first 3 decimals are identical.

The spelling of 33768085 in words is "thirty-three million, seven hundred sixty-eight thousand, eighty-five".