420233 has 12 divisors (see below), whose sum is σ = 485184. Its totient is φ = 363000.

The previous prime is 420221. The next prime is 420241. The reversal of 420233 is 332024.

It is not a de Polignac number, because 420233 - 2¹⁴ = 403849 is a prime.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon 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 11 ways as a sum of consecutive naturals, for example, 2708 + ... + 2858.

It is an arithmetic number, because the mean of its divisors is an integer number (40432).

2⁴²⁰²³³ is an apocalyptic number.

It is an amenable number.

420233 is a deficient number, since it is larger than the sum of its proper divisors (64951).

420233 is a wasteful number, since it uses less digits than its factorization.

420233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 420233 is about 648.2538083189. The cubic root of 420233 is about 74.9025697825.

Adding to 420233 its reverse (332024), we get a palindrome (752257).

Subtracting from 420233 its reverse (332024), we obtain a square (88209 = 297²).

The spelling of 420233 in words is "four hundred twenty thousand, two hundred thirty-three".