417825 has 24 divisors (see below), whose sum is σ = 768800. Its totient is φ = 222480.

The previous prime is 417821. The next prime is 417839. The reversal of 417825 is 528714.

It is not a de Polignac number, because 417825 - 2² = 417821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

417825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (417821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366 + ... + 984.

2⁴¹⁷⁸²⁵ is an apocalyptic number.

417825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417825 is a deficient number, since it is larger than the sum of its proper divisors (350975).

417825 is a wasteful number, since it uses less digits than its factorization.

417825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 417825 is about 646.3938427925. The cubic root of 417825 is about 74.7592278776.

Subtracting 417825 from its reverse (528714), we obtain a square (110889 = 333²).

The spelling of 417825 in words is "four hundred seventeen thousand, eight hundred twenty-five".