417325 has 6 divisors (see below), whose sum is σ = 517514. Its totient is φ = 333840.

The previous prime is 417317. The next prime is 417331. The reversal of 417325 is 523714.

417325 = 117² + 118² + ... + 141².

It can be written as a sum of positive squares in 3 ways, for example, as 9 + 417316 = 3^2 + 646^2 .

It is not a de Polignac number, because 417325 - 2³ = 417317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 417296 and 417305.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8322 + ... + 8371.

2⁴¹⁷³²⁵ is an apocalyptic number.

It is an amenable number.

417325 is a deficient number, since it is larger than the sum of its proper divisors (100189).

417325 is a wasteful number, since it uses less digits than its factorization.

417325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703 (or 16698 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 417325 is about 646.0069659067. The cubic root of 417325 is about 74.7293951851.

The spelling of 417325 in words is "four hundred seventeen thousand, three hundred twenty-five".