85166901 has 6 divisors (see below), whose sum is σ = 123018870. Its totient is φ = 56777928.

The previous prime is 85166897. The next prime is 85166903. The reversal of 85166901 is 10966158.

It can be written as a sum of positive squares in only one way, i.e., 81270225 + 3896676 = 9015^2 + 1974^2 .

It is not a de Polignac number, because 85166901 - 2² = 85166897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85166903) 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 5 ways as a sum of consecutive naturals, for example, 4731486 + ... + 4731503.

It is an arithmetic number, because the mean of its divisors is an integer number (20503145).

Almost surely, 2^85166901 is an apocalyptic number.

It is an amenable number.

85166901 is a deficient number, since it is larger than the sum of its proper divisors (37851969).

85166901 is a wasteful number, since it uses less digits than its factorization.

85166901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462995 (or 9462992 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85166901 is about 9228.5914959976. The cubic root of 85166901 is about 439.9705576029.

The spelling of 85166901 in words is "eighty-five million, one hundred sixty-six thousand, nine hundred one".