85468201 has 18 divisors (see below), whose sum is σ = 107668782. Its totient is φ = 67616640.

The previous prime is 85468193. The next prime is 85468211. The reversal of 85468201 is 10286458.

It can be written as a sum of positive squares in 3 ways, for example, as 90601 + 85377600 = 301^2 + 9240^2 .

It is not a de Polignac number, because 85468201 - 2³ = 85468193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85468211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3121 + ... + 13441.

It is an arithmetic number, because the mean of its divisors is an integer number (5981599).

Almost surely, 2^85468201 is an apocalyptic number.

It is an amenable number.

85468201 is a deficient number, since it is larger than the sum of its proper divisors (22200581).

85468201 is a wasteful number, since it uses less digits than its factorization.

85468201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10361 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85468201 is about 9244.9013515559. The cubic root of 85468201 is about 440.4887836136.

The spelling of 85468201 in words is "eighty-five million, four hundred sixty-eight thousand, two hundred one".