33564041 has 16 divisors (see below), whose sum is σ = 39920640. Its totient is φ = 27613440.

The previous prime is 33564031. The next prime is 33564059. The reversal of 33564041 is 14046533.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33564041 is a prime.

It is a super-2 number, since 2×33564041² = 2253089696499362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33564041.

It is not an unprimeable number, because it can be changed into a prime (33564031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29165 + ... + 30293.

It is an arithmetic number, because the mean of its divisors is an integer number (2495040).

Almost surely, 2^33564041 is an apocalyptic number.

33564041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33564041 is a deficient number, since it is larger than the sum of its proper divisors (6356599).

33564041 is a wasteful number, since it uses less digits than its factorization.

33564041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 33564041 is about 5793.4481097184. The cubic root of 33564041 is about 322.5705744631.

The spelling of 33564041 in words is "thirty-three million, five hundred sixty-four thousand, forty-one".