85812085969 has 9 divisors (see below), whose sum is σ = 86134644561. Its totient is φ = 85490734080.

The previous prime is 85812085943. The next prime is 85812085981. The reversal of 85812085969 is 96958021858.

The square root of 85812085969 is 292937.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50726300625 + 35085785344 = 225225^2 + 187312^2 .

It is not a de Polignac number, because 85812085969 - 2¹¹ = 85812083921 is a prime.

It is a super-2 number, since 2×85812085969² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85812085369) 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, 133871889 + ... + 133872529.

Almost surely, 2^85812085969 is an apocalyptic number.

85812085969 is the 292937-th square number.

85812085969 is the 146469-th centered octagonal number.

It is an amenable number.

85812085969 is a deficient number, since it is larger than the sum of its proper divisors (322558592).

85812085969 is an frugal number, since it uses more digits than its factorization.

85812085969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 61.

The spelling of 85812085969 in words is "eighty-five billion, eight hundred twelve million, eighty-five thousand, nine hundred sixty-nine".