420925 has 12 divisors (see below), whose sum is σ = 530100. Its totient is φ = 331520.

The previous prime is 420919. The next prime is 420929. The reversal of 420925 is 529024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 168921 + 252004 = 411^2 + 502^2 .

It is not a de Polignac number, because 420925 - 2¹⁷ = 289853 is a prime.

420925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 420896 and 420905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2751 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2⁴²⁰⁹²⁵ is an apocalyptic number.

It is an amenable number.

420925 is a deficient number, since it is larger than the sum of its proper divisors (109175).

420925 is a wasteful number, since it uses less digits than its factorization.

420925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 420925 is about 648.7873303325. The cubic root of 420925 is about 74.9436613938.

Subtracting from 420925 its sum of digits (22), we obtain a triangular number (420903 = T₉₁₇).

Adding to 420925 its reverse (529024), we get a palindrome (949949).

The spelling of 420925 in words is "four hundred twenty thousand, nine hundred twenty-five".