984375 has 42 divisors (see below), whose sum is σ = 2031224. Its totient is φ = 450000.

The previous prime is 984367. The next prime is 984383. The reversal of 984375 is 573489.

It is an interprime number because it is at equal distance from previous prime (984367) and next prime (984383).

It is not a de Polignac number, because 984375 - 2³ = 984367 is a prime.

It is a Duffinian number.

Its product of digits (30240) is a multiple of the sum of its prime divisors (15).

984375 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 140622 + ... + 140628.

984375 is a Friedman number, since it can be written as 9*7*(5^(3/4))^8, using all its digits and the basic arithmetic operations.

2⁹⁸⁴³⁷⁵ is an apocalyptic number.

984375 is an abundant number, since it is smaller than the sum of its proper divisors (1046849).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

984375 is an frugal number, since it uses more digits than its factorization.

984375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 15 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 984375 is about 992.1567416492. The cubic root of 984375 is about 99.4764301974.

It can be divided in two parts, 9 and 84375, that multiplied together give a 5-th power (759375 = 15⁵).

The spelling of 984375 in words is "nine hundred eighty-four thousand, three hundred seventy-five".