420033 has 8 divisors (see below), whose sum is σ = 589600. Its totient is φ = 265248.

The previous prime is 420029. The next prime is 420037. The reversal of 420033 is 330024.

It is an interprime number because it is at equal distance from previous prime (420029) and next prime (420037).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420033 - 2² = 420029 is a prime.

It is a Duffinian number.

It is a Curzon number.

420033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (420037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3628 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (73700).

2⁴²⁰⁰³³ is an apocalyptic number.

It is an amenable number.

420033 is a deficient number, since it is larger than the sum of its proper divisors (169567).

420033 is a wasteful number, since it uses less digits than its factorization.

420033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 420033 is about 648.0995293934. The cubic root of 420033 is about 74.8906851922.

Adding to 420033 its reverse (330024), we get a palindrome (750057).

Subtracting from 420033 its reverse (330024), we obtain a palindrome (90009).

The spelling of 420033 in words is "four hundred twenty thousand, thirty-three".