85201 has 2 divisors, whose sum is σ = 85202. Its totient is φ = 85200.

The previous prime is 85199. The next prime is 85213. The reversal of 85201 is 10258.

It is a happy number.

85201 is nontrivially palindromic in base 15.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 9025 = 276^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 85201 - 2¹ = 85199 is a prime.

Together with 85199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (85601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42600 + 42601.

It is an arithmetic number, because the mean of its divisors is an integer number (42601).

2⁸⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

85201 is a deficient number, since it is larger than the sum of its proper divisors (1).

85201 is an equidigital number, since it uses as much as digits as its factorization.

85201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 85201 is about 291.8921033533. The cubic root of 85201 is about 44.0029268026.

Adding to 85201 its reverse (10258), we get a palindrome (95459).

The spelling of 85201 in words is "eighty-five thousand, two hundred one".