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85313 is a prime number
BaseRepresentation
bin10100110101000001
311100000202
4110311001
510212223
61454545
7503504
oct246501
9140022
1085313
1159108
1241455
132caa7
142313b
151a428
hex14d41

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".