420633 has 14 divisors (see below), whose sum is σ = 631754. Its totient is φ = 279936.

The previous prime is 420613. The next prime is 420671. The reversal of 420633 is 336024.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 729 = 648^2 + 27^2 .

It is not a de Polignac number, because 420633 - 2⁶ = 420569 is a prime.

It is a Duffinian number.

420633 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (420613) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 441 + ... + 1017.

2⁴²⁰⁶³³ is an apocalyptic number.

It is an amenable number.

420633 is a deficient number, since it is larger than the sum of its proper divisors (211121).

420633 is an frugal number, since it uses more digits than its factorization.

420633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420633 is about 648.5622560711. The cubic root of 420633 is about 74.9263276555.

Adding to 420633 its reverse (336024), we get a palindrome (756657).

The spelling of 420633 in words is "four hundred twenty thousand, six hundred thirty-three".