85852161 has 24 divisors (see below), whose sum is σ = 126695400. Its totient is φ = 56007936.

The previous prime is 85852147. The next prime is 85852181. The reversal of 85852161 is 16125858.

It can be written as a sum of positive squares in 4 ways, for example, as 12852225 + 72999936 = 3585^2 + 8544^2 .

It is not a de Polignac number, because 85852161 - 2¹⁸ = 85590017 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (85852141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97455 + ... + 98331.

It is an arithmetic number, because the mean of its divisors is an integer number (5278975).

It is a Proth number, since it is equal to 655 ⋅ 2¹⁷ + 1 and 655 < 2¹⁷.

Almost surely, 2^85852161 is an apocalyptic number.

It is an amenable number.

85852161 is a deficient number, since it is larger than the sum of its proper divisors (40843239).

85852161 is a wasteful number, since it uses less digits than its factorization.

85852161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 85852161 is about 9265.6441222400. The cubic root of 85852161 is about 441.1474201326.

The spelling of 85852161 in words is "eighty-five million, eight hundred fifty-two thousand, one hundred sixty-one".