420114125 has 16 divisors (see below), whose sum is σ = 525842928. Its totient is φ = 335104000.

The previous prime is 420114119. The next prime is 420114131. The reversal of 420114125 is 521411024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420114119) and next prime (420114131).

It can be written as a sum of positive squares in 8 ways, for example, as 167081476 + 253032649 = 12926^2 + 15907^2 .

It is not a de Polignac number, because 420114125 - 2⁴ = 420114109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420114097 and 420114106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39365 + ... + 48885.

It is an arithmetic number, because the mean of its divisors is an integer number (32865183).

Almost surely, 2^420114125 is an apocalyptic number.

It is an amenable number.

420114125 is a deficient number, since it is larger than the sum of its proper divisors (105728803).

420114125 is an equidigital number, since it uses as much as digits as its factorization.

420114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 420114125 is about 20496.6857076943. The cubic root of 420114125 is about 748.9550633378.

Adding to 420114125 its reverse (521411024), we get a palindrome (941525149).

The spelling of 420114125 in words is "four hundred twenty million, one hundred fourteen thousand, one hundred twenty-five".