85213 has 2 divisors, whose sum is σ = 85214. Its totient is φ = 85212.

The previous prime is 85201. The next prime is 85223. The reversal of 85213 is 31258.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 13924 = 267^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 85213 - 2⁹ = 84701 is a prime.

It is a super-2 number, since 2×85213² = 14522510738, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42606 + 42607.

It is an arithmetic number, because the mean of its divisors is an integer number (42607).

2⁸⁵²¹³ is an apocalyptic number.

It is an amenable number.

85213 is a deficient number, since it is larger than the sum of its proper divisors (1).

85213 is an equidigital number, since it uses as much as digits as its factorization.

85213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240, while the sum is 19.

The square root of 85213 is about 291.9126581702. The cubic root of 85213 is about 44.0049925464.

The spelling of 85213 in words is "eighty-five thousand, two hundred thirteen".