85361 has 2 divisors, whose sum is σ = 85362. Its totient is φ = 85360.

The previous prime is 85333. The next prime is 85363. The reversal of 85361 is 16358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78961 + 6400 = 281^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 85361 - 2⁶ = 85297 is a prime.

Together with 85363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42680 + 42681.

It is an arithmetic number, because the mean of its divisors is an integer number (42681).

2⁸⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

85361 is a deficient number, since it is larger than the sum of its proper divisors (1).

85361 is an equidigital number, since it uses as much as digits as its factorization.

85361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 85361 is about 292.1660486778. The cubic root of 85361 is about 44.0304541233.

The spelling of 85361 in words is "eighty-five thousand, three hundred sixty-one".