77213 has 2 divisors, whose sum is σ = 77214. Its totient is φ = 77212.

The previous prime is 77201. The next prime is 77237. The reversal of 77213 is 31277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 484 = 277^2 + 22^2 .

It is an emirp because it is prime and its reverse (31277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77213 - 2¹⁶ = 11677 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38606 + 38607.

It is an arithmetic number, because the mean of its divisors is an integer number (38607).

2⁷⁷²¹³ is an apocalyptic number.

It is an amenable number.

77213 is a deficient number, since it is larger than the sum of its proper divisors (1).

77213 is an equidigital number, since it uses as much as digits as its factorization.

77213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294, while the sum is 20.

The square root of 77213 is about 277.8722728161. The cubic root of 77213 is about 42.5824006887.

The spelling of 77213 in words is "seventy-seven thousand, two hundred thirteen".