33983961 has 16 divisors (see below), whose sum is σ = 50485248. Its totient is φ = 20157200.

The previous prime is 33983953. The next prime is 33983981. The reversal of 33983961 is 16938933.

It is a cyclic number.

It is not a de Polignac number, because 33983961 - 2³ = 33983953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33983921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405 + ... + 12506.

It is an arithmetic number, because the mean of its divisors is an integer number (3155328).

Almost surely, 2^33983961 is an apocalyptic number.

It is an amenable number.

33983961 is a deficient number, since it is larger than the sum of its proper divisors (16501287).

33983961 is a wasteful number, since it uses less digits than its factorization.

33983961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972.

The product of its digits is 104976, while the sum is 42.

The square root of 33983961 is about 5829.5763997052. The cubic root of 33983961 is about 323.9102308078.

It can be divided in two parts, 339839 and 61, that added together give a triangular number (339900 = T₈₂₄).

The spelling of 33983961 in words is "thirty-three million, nine hundred eighty-three thousand, nine hundred sixty-one".