333984375 has 60 divisors (see below), whose sum is σ = 634765560. Its totient is φ = 168750000.

The previous prime is 333984361. The next prime is 333984433. The reversal of 333984375 is 573489333.

It is not a de Polignac number, because 333984375 - 2⁷ = 333984247 is a prime.

It is a super-2 number, since 2×333984375² = 223091125488281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (816480) is a multiple of the sum of its prime divisors (27).

It is a self number, because there is not a number n which added to its sum of digits gives 333984375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17578116 + ... + 17578134.

It is an arithmetic number, because the mean of its divisors is an integer number (10579426).

Almost surely, 2^333984375 is an apocalyptic number.

333984375 is a deficient number, since it is larger than the sum of its proper divisors (300781185).

333984375 is an frugal number, since it uses more digits than its factorization.

333984375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 333984375 is about 18275.2393965168. The cubic root of 333984375 is about 693.8123878639.

It can be divided in two parts, 33398 and 4375, that added together give a palindrome (37773).

The spelling of 333984375 in words is "three hundred thirty-three million, nine hundred eighty-four thousand, three hundred seventy-five".