33300961 has 8 divisors (see below), whose sum is σ = 34557480. Its totient is φ = 32051712.

The previous prime is 33300959. The next prime is 33300997. The reversal of 33300961 is 16900333.

33300961 = 4080² + 4081².

It can be written as a sum of positive squares in 4 ways, for example, as 14326225 + 18974736 = 3785^2 + 4356^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 33300961 - 2¹ = 33300959 is a prime.

It is a super-2 number, since 2×33300961² = 2217908007047042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33300931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8611 + ... + 11863.

It is an arithmetic number, because the mean of its divisors is an integer number (4319685).

Almost surely, 2^33300961 is an apocalyptic number.

33300961 is the 4081-st centered square number.

It is an amenable number.

33300961 is a deficient number, since it is larger than the sum of its proper divisors (1256519).

33300961 is a wasteful number, since it uses less digits than its factorization.

33300961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635.

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 33300961 is about 5770.6984845857. The cubic root of 33300961 is about 321.7255773096.

The spelling of 33300961 in words is "thirty-three million, three hundred thousand, nine hundred sixty-one".