8961333 has 16 divisors (see below), whose sum is σ = 12260160. Its totient is φ = 5820416.

The previous prime is 8961311. The next prime is 8961341. The reversal of 8961333 is 3331698.

8961333 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8961333 - 2⁵ = 8961301 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8961294 and 8961303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961353) 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, 34741 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (766260).

Almost surely, 2^8961333 is an apocalyptic number.

It is an amenable number.

8961333 is a deficient number, since it is larger than the sum of its proper divisors (3298827).

8961333 is a wasteful number, since it uses less digits than its factorization.

8961333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516.

The product of its digits is 11664, while the sum is 33.

The square root of 8961333 is about 2993.5485631605. The cubic root of 8961333 is about 207.7100635553.

The spelling of 8961333 in words is "eight million, nine hundred sixty-one thousand, three hundred thirty-three".