413213 has 4 divisors (see below), whose sum is σ = 415548. Its totient is φ = 410880.

The previous prime is 413207. The next prime is 413233. The reversal of 413213 is 312314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312314 = 2 ⋅156157.

It can be written as a sum of positive squares in 2 ways, for example, as 267289 + 145924 = 517^2 + 382^2 .

It is a cyclic number.

It is not a de Polignac number, because 413213 - 2⁴ = 413197 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (103887).

2⁴¹³²¹³ is an apocalyptic number.

It is an amenable number.

413213 is a deficient number, since it is larger than the sum of its proper divisors (2335).

413213 is a wasteful number, since it uses less digits than its factorization.

413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334.

The product of its digits is 72, while the sum is 14.

The square root of 413213 is about 642.8164590301. The cubic root of 413213 is about 74.4831425907.

Adding to 413213 its reverse (312314), we get a palindrome (725527).

It can be divided in two parts, 413 and 213, that added together give a palindrome (626).

The spelling of 413213 in words is "four hundred thirteen thousand, two hundred thirteen".