33036961 has 2 divisors, whose sum is σ = 33036962. Its totient is φ = 33036960.

The previous prime is 33036937. The next prime is 33036989. The reversal of 33036961 is 16963033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 3876961 = 5400^2 + 1969^2 .

It is an emirp because it is prime and its reverse (16963033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33036961 - 2⁷ = 33036833 is a prime.

It is not a weakly prime, because it can be changed into another prime (33036361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16518480 + 16518481.

It is an arithmetic number, because the mean of its divisors is an integer number (16518481).

Almost surely, 2^33036961 is an apocalyptic number.

It is an amenable number.

33036961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33036961 is an equidigital number, since it uses as much as digits as its factorization.

33036961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 33036961 is about 5747.7787883669. The cubic root of 33036961 is about 320.8731395073.

Adding to 33036961 its reverse (16963033), we get a palindrome (49999994).

The spelling of 33036961 in words is "thirty-three million, thirty-six thousand, nine hundred sixty-one".