84960333 has 24 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 56173824.

The previous prime is 84960329. The next prime is 84960347. The reversal of 84960333 is 33306948.

84960333 is a `hidden beast` number, since 8 + 49 + 603 + 3 + 3 = 666.

It is not a de Polignac number, because 84960333 - 2² = 84960329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84960353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29485 + ... + 32237.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2^84960333 is an apocalyptic number.

It is an amenable number.

84960333 is a deficient number, since it is larger than the sum of its proper divisors (43354035).

84960333 is a wasteful number, since it uses less digits than its factorization.

84960333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 84960333 is about 9217.3929611360. The cubic root of 84960333 is about 439.6145608707.

The spelling of 84960333 in words is "eighty-four million, nine hundred sixty thousand, three hundred thirty-three".