85322994201 has 9 divisors (see below), whose sum is σ = 123245590741. Its totient is φ = 56881411932.

The previous prime is 85322994193. The next prime is 85322994241. The reversal of 85322994201 is 10249922358.

The square root of 85322994201 is 292101.

It is a perfect power (a square), and thus also a powerful number.

85322994201 is a `hidden beast` number, since 8 + 532 + 2 + 9 + 94 + 20 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85322994201 - 2³ = 85322994193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85322994241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 827620 + ... + 924986.

Almost surely, 2^85322994201 is an apocalyptic number.

85322994201 is the 292101-st square number.

85322994201 is the 146051-st centered octagonal number.

It is an amenable number.

85322994201 is a deficient number, since it is larger than the sum of its proper divisors (37922596540).

85322994201 is an frugal number, since it uses more digits than its factorization.

85322994201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194740 (or 97370 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 85322994201 in words is "eighty-five billion, three hundred twenty-two million, nine hundred ninety-four thousand, two hundred one".