420957 has 10 divisors (see below), whose sum is σ = 628958. Its totient is φ = 280584.

The previous prime is 420941. The next prime is 420967. The reversal of 420957 is 759024.

420957 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 68121 = 594^2 + 261^2 .

It is not a de Polignac number, because 420957 - 2⁴ = 420941 is a prime.

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

It is a Duffinian number.

420957 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 420957.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420957.

It is not an unprimeable number, because it can be changed into a prime (420967) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2518 + ... + 2679.

2⁴²⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

420957 is a deficient number, since it is larger than the sum of its proper divisors (208001).

420957 is an equidigital number, since it uses as much as digits as its factorization.

420957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 420957 is about 648.8119912579. The cubic root of 420957 is about 74.9455604941.

The spelling of 420957 in words is "four hundred twenty thousand, nine hundred fifty-seven".