420825 has 24 divisors (see below), whose sum is σ = 722176. Its totient is φ = 216000.

The previous prime is 420811. The next prime is 420851. The reversal of 420825 is 528024.

It is not a de Polignac number, because 420825 - 2⁴ = 420809 is a prime.

It is a Curzon number.

420825 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235 + ... + 2415.

2⁴²⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

420825 is a deficient number, since it is larger than the sum of its proper divisors (301351).

420825 is a wasteful number, since it uses less digits than its factorization.

420825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 420825 is about 648.7102588984. The cubic root of 420825 is about 74.9377260849.

Adding to 420825 its reverse (528024), we get a palindrome (948849).

The spelling of 420825 in words is "four hundred twenty thousand, eight hundred twenty-five".