85200001 has 4 divisors (see below), whose sum is σ = 85227604. Its totient is φ = 85172400.

The previous prime is 85199993. The next prime is 85200013. The reversal of 85200001 is 10000258.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 17631601 = 8220^2 + 4199^2 .

It is a cyclic number.

It is not a de Polignac number, because 85200001 - 2³ = 85199993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85200061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8490 + ... + 15571.

It is an arithmetic number, because the mean of its divisors is an integer number (21306901).

Almost surely, 2^85200001 is an apocalyptic number.

It is an amenable number.

85200001 is a deficient number, since it is larger than the sum of its proper divisors (27603).

85200001 is a wasteful number, since it uses less digits than its factorization.

85200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27602.

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

The square root of 85200001 is about 9230.3846615404. The cubic root of 85200001 is about 440.0275482063.

Adding to 85200001 its reverse (10000258), we get a palindrome (95200259).

The spelling of 85200001 in words is "eighty-five million, two hundred thousand, one".