420927 has 16 divisors (see below), whose sum is σ = 620928. Its totient is φ = 252000.

The previous prime is 420919. The next prime is 420929. The reversal of 420927 is 729024.

It is not a de Polignac number, because 420927 - 2³ = 420919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420897 and 420906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420929) 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, 1552 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁴²⁰⁹²⁷ is an apocalyptic number.

420927 is a deficient number, since it is larger than the sum of its proper divisors (200001).

420927 is a wasteful number, since it uses less digits than its factorization.

420927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 420927 is about 648.7888716678. The cubic root of 420927 is about 74.9437800904.

Subtracting from 420927 its sum of digits (24), we obtain a triangular number (420903 = T₉₁₇).

The spelling of 420927 in words is "four hundred twenty thousand, nine hundred twenty-seven".