33116961 has 32 divisors (see below), whose sum is σ = 47421568. Its totient is φ = 20528640.

The previous prime is 33116953. The next prime is 33117041. The reversal of 33116961 is 16961133.

33116961 = T₂₆₉ + T₂₇₀ + ... + T₆₀₁.

It is not a de Polignac number, because 33116961 - 2³ = 33116953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33116921) 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 31 ways as a sum of consecutive naturals, for example, 453621 + ... + 453693.

It is an arithmetic number, because the mean of its divisors is an integer number (1481924).

Almost surely, 2^33116961 is an apocalyptic number.

It is an amenable number.

33116961 is a deficient number, since it is larger than the sum of its proper divisors (14304607).

33116961 is a wasteful number, since it uses less digits than its factorization.

33116961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its digits is 2916, while the sum is 30.

The square root of 33116961 is about 5754.7337905415. The cubic root of 33116961 is about 321.1319320648.

The spelling of 33116961 in words is "thirty-three million, one hundred sixteen thousand, nine hundred sixty-one".