420953 has 4 divisors (see below), whose sum is σ = 453348. Its totient is φ = 388560.

The previous prime is 420941. The next prime is 420967. The reversal of 420953 is 359024.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 267289 = 392^2 + 517^2 .

It is a cyclic number.

It is not a de Polignac number, because 420953 - 2¹⁰ = 419929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16178 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (113337).

2⁴²⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

420953 is a deficient number, since it is larger than the sum of its proper divisors (32395).

420953 is a wasteful number, since it uses less digits than its factorization.

420953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32394.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 420953 is about 648.8089086935. The cubic root of 420953 is about 74.9453231118.

Adding to 420953 its reverse (359024), we get a palindrome (779977).

The spelling of 420953 in words is "four hundred twenty thousand, nine hundred fifty-three".