85363681 has 16 divisors (see below), whose sum is σ = 99722448. Its totient is φ = 72345600.

The previous prime is 85363679. The next prime is 85363693. The reversal of 85363681 is 18636358.

It can be written as a sum of positive squares in 8 ways, for example, as 14130081 + 71233600 = 3759^2 + 8440^2 .

It is a cyclic number.

It is not a de Polignac number, because 85363681 - 2¹ = 85363679 is a prime.

It is a super-2 number, since 2×85363681² = 14573916067739522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85363631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4351 + ... + 13771.

It is an arithmetic number, because the mean of its divisors is an integer number (6232653).

Almost surely, 2^85363681 is an apocalyptic number.

It is an amenable number.

85363681 is a deficient number, since it is larger than the sum of its proper divisors (14358767).

85363681 is a wasteful number, since it uses less digits than its factorization.

85363681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492.

The product of its digits is 103680, while the sum is 40.

The square root of 85363681 is about 9239.2467766588. The cubic root of 85363681 is about 440.3091508479.

The spelling of 85363681 in words is "eighty-five million, three hundred sixty-three thousand, six hundred eighty-one".