85073201 has 2 divisors, whose sum is σ = 85073202. Its totient is φ = 85073200.

The previous prime is 85073167. The next prime is 85073213. The reversal of 85073201 is 10237058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84198976 + 874225 = 9176^2 + 935^2 .

It is a cyclic number.

It is not a de Polignac number, because 85073201 - 2¹⁴ = 85056817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85073281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42536600 + 42536601.

It is an arithmetic number, because the mean of its divisors is an integer number (42536601).

Almost surely, 2^85073201 is an apocalyptic number.

It is an amenable number.

85073201 is a deficient number, since it is larger than the sum of its proper divisors (1).

85073201 is an equidigital number, since it uses as much as digits as its factorization.

85073201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 85073201 is about 9223.5134845676. The cubic root of 85073201 is about 439.8091476006.

The spelling of 85073201 in words is "eighty-five million, seventy-three thousand, two hundred one".