85313 has 2 divisors, whose sum is σ = 85314. Its totient is φ = 85312.

The previous prime is 85303. The next prime is 85331. The reversal of 85313 is 31358.

85313 is nontrivially palindromic in base 16.

Together with next prime (85331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 49 = 292^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 85313 - 2⁴ = 85297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85313.

It is not a weakly prime, because it can be changed into another prime (85303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42656 + 42657.

It is an arithmetic number, because the mean of its divisors is an integer number (42657).

2⁸⁵³¹³ is an apocalyptic number.

It is an amenable number.

85313 is a deficient number, since it is larger than the sum of its proper divisors (1).

85313 is an equidigital number, since it uses as much as digits as its factorization.

85313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 85313 is about 292.0838920584. The cubic root of 85313 is about 44.0221995415.

The spelling of 85313 in words is "eighty-five thousand, three hundred thirteen".