85065201 has 64 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 48660480.

The previous prime is 85065199. The next prime is 85065241. The reversal of 85065201 is 10256058.

85065201 is a `hidden beast` number, since 8 + 5 + 0 + 652 + 0 + 1 = 666.

It is not a de Polignac number, because 85065201 - 2¹ = 85065199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85065241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330865 + ... + 331121.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2^85065201 is an apocalyptic number.

It is an amenable number.

85065201 is a deficient number, since it is larger than the sum of its proper divisors (60570639).

85065201 is a wasteful number, since it uses less digits than its factorization.

85065201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85065201 is about 9223.0798001535. The cubic root of 85065201 is about 439.7953611068.

The spelling of 85065201 in words is "eighty-five million, sixty-five thousand, two hundred one".