421875 has 28 divisors (see below), whose sum is σ = 781240. Its totient is φ = 225000.

The previous prime is 421847. The next prime is 421891. The reversal of 421875 is 578124.

The cubic root of 421875 is 75.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 421875 - 2¹⁰ = 420851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2240) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84373 + ... + 84377.

421875 is a Friedman number, since it can be written as ((8+7)*5)^(4-2+1), using all its digits and the basic arithmetic operations.

2⁴²¹⁸⁷⁵ is an apocalyptic number.

421875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

421875 is a deficient number, since it is larger than the sum of its proper divisors (359365).

421875 is an frugal number, since it uses more digits than its factorization.

421875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 8 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 421875 is about 649.5190528383.

Multiplying 421875 by its sum of digits (27), we get a 6-th power (11390625 = 15⁶).

421875 divided by its sum of digits (27) gives a 6-th power (15625 = 5⁶).

Adding to 421875 its reverse (578124), we get a palindrome (999999).

It can be divided in two parts, 421 and 875, that added together give a 4-th power (1296 = 6⁴).

The spelling of 421875 in words is "four hundred twenty-one thousand, eight hundred seventy-five".