413217 has 18 divisors (see below), whose sum is σ = 695058. Its totient is φ = 235872.

The previous prime is 413207. The next prime is 413233. The reversal of 413217 is 712314.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 159201 = 504^2 + 399^2 .

It is not a de Polignac number, because 413217 - 2⁴ = 413201 is a prime.

It is an Ulam number.

413217 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 413217.

It is not an unprimeable number, because it can be changed into a prime (413207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28 + ... + 909.

2⁴¹³²¹⁷ is an apocalyptic number.

It is an amenable number.

413217 is a deficient number, since it is larger than the sum of its proper divisors (281841).

413217 is a wasteful number, since it uses less digits than its factorization.

413217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 413217 is about 642.8195703306. The cubic root of 413217 is about 74.4833829281.

It can be divided in two parts, 41321 and 7, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 413217 in words is "four hundred thirteen thousand, two hundred seventeen".