413825 has 6 divisors (see below), whose sum is σ = 513174. Its totient is φ = 331040.

The previous prime is 413807. The next prime is 413827. The reversal of 413825 is 528314.

It can be written as a sum of positive squares in 3 ways, for example, as 110224 + 303601 = 332^2 + 551^2 .

It is not a de Polignac number, because 413825 - 2¹² = 409729 is a prime.

It is a super-2 number, since 2×413825² = 342502261250, which contains 22 as substring.

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 413825.

It is not an unprimeable number, because it can be changed into a prime (413827) 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, 8252 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (85529).

2⁴¹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

413825 is a deficient number, since it is larger than the sum of its proper divisors (99349).

413825 is a wasteful number, since it uses less digits than its factorization.

413825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16563 (or 16558 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 413825 is about 643.2923130273. The cubic root of 413825 is about 74.5198961919.

It can be divided in two parts, 413 and 825, that multiplied together give a triangular number (340725 = T₈₂₅).

The spelling of 413825 in words is "four hundred thirteen thousand, eight hundred twenty-five".