414125 has 8 divisors (see below), whose sum is σ = 516984. Its totient is φ = 331200.

The previous prime is 414109. The next prime is 414131. The reversal of 414125 is 521414.

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 413449 = 26^2 + 643^2 .

It is not a de Polignac number, because 414125 - 2⁴ = 414109 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (64623).

2⁴¹⁴¹²⁵ is an apocalyptic number.

It is an amenable number.

414125 is a deficient number, since it is larger than the sum of its proper divisors (102859).

414125 is an equidigital number, since it uses as much as digits as its factorization.

414125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3318 counting only the distinct ones).

The product of its digits is 160, while the sum is 17.

The square root of 414125 is about 643.5254462723. The cubic root of 414125 is about 74.5378994290.

Adding to 414125 its reverse (521414), we get a palindrome (935539).

The spelling of 414125 in words is "four hundred fourteen thousand, one hundred twenty-five".