413225 has 6 divisors (see below), whose sum is σ = 512430. Its totient is φ = 330560.

The previous prime is 413207. The next prime is 413233. The reversal of 413225 is 522314.

413225 = 34² + 35² + ... + 108².

It can be written as a sum of positive squares in 3 ways, for example, as 90601 + 322624 = 301^2 + 568^2 .

It is not a de Polignac number, because 413225 - 2¹⁰ = 412201 is a prime.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8240 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (85405).

2⁴¹³²²⁵ is an apocalyptic number.

It is an amenable number.

413225 is a deficient number, since it is larger than the sum of its proper divisors (99205).

413225 is a wasteful number, since it uses less digits than its factorization.

413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539 (or 16534 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 413225 is about 642.8257928864. The cubic root of 413225 is about 74.4838635982.

Adding to 413225 its reverse (522314), we get a palindrome (935539).

It can be divided in two parts, 4 and 13225, that multiplied together give a square (52900 = 230²).

The spelling of 413225 in words is "four hundred thirteen thousand, two hundred twenty-five".