415825 has 6 divisors (see below), whose sum is σ = 515654. Its totient is φ = 332640.

The previous prime is 415823. The next prime is 415861. The reversal of 415825 is 528514.

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 414736 = 33^2 + 644^2 .

It is not a de Polignac number, because 415825 - 2¹ = 415823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 16633 = 415825 / (4 + 1 + 5 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415825.

It is not an unprimeable number, because it can be changed into a prime (415823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8292 + ... + 8341.

2⁴¹⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

415825 is a deficient number, since it is larger than the sum of its proper divisors (99829).

415825 is a wasteful number, since it uses less digits than its factorization.

415825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16643 (or 16638 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 415825 is about 644.8449426025. The cubic root of 415825 is about 74.6397538885.

The spelling of 415825 in words is "four hundred fifteen thousand, eight hundred twenty-five".