213713 has 2 divisors, whose sum is σ = 213714. Its totient is φ = 213712.

The previous prime is 213659. The next prime is 213721. The reversal of 213713 is 317312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 9409 = 452^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 213713 - 2⁶ = 213649 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213691 and 213700.

It is not a weakly prime, because it can be changed into another prime (213613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106856 + 106857.

It is an arithmetic number, because the mean of its divisors is an integer number (106857).

2²¹³⁷¹³ is an apocalyptic number.

It is an amenable number.

213713 is a deficient number, since it is larger than the sum of its proper divisors (1).

213713 is an equidigital number, since it uses as much as digits as its factorization.

213713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 17.

The square root of 213713 is about 462.2910338737. The cubic root of 213713 is about 59.7874889469.

The spelling of 213713 in words is "two hundred thirteen thousand, seven hundred thirteen".