213413 has 4 divisors (see below), whose sum is σ = 215628. Its totient is φ = 211200.

The previous prime is 213407. The next prime is 213449. The reversal of 213413 is 314312.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 124609 = 298^2 + 353^2 .

It is a cyclic number.

It is not a de Polignac number, because 213413 - 2⁴ = 213397 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213613) 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, 956 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (53907).

2²¹³⁴¹³ is an apocalyptic number.

It is an amenable number.

213413 is a deficient number, since it is larger than the sum of its proper divisors (2215).

213413 is a wasteful number, since it uses less digits than its factorization.

213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214.

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

The square root of 213413 is about 461.9664489982. The cubic root of 213413 is about 59.7595002488.

Adding to 213413 its reverse (314312), we get a palindrome (527725).

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

The spelling of 213413 in words is "two hundred thirteen thousand, four hundred thirteen".