85248561 has 16 divisors (see below), whose sum is σ = 115819200. Its totient is φ = 55765248.

The previous prime is 85248533. The next prime is 85248577. The reversal of 85248561 is 16584258.

It is not a de Polignac number, because 85248561 - 2⁵ = 85248529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85248161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35965 + ... + 38261.

It is an arithmetic number, because the mean of its divisors is an integer number (7238700).

Almost surely, 2^85248561 is an apocalyptic number.

It is an amenable number.

85248561 is a deficient number, since it is larger than the sum of its proper divisors (30570639).

85248561 is a wasteful number, since it uses less digits than its factorization.

85248561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528.

The product of its digits is 76800, while the sum is 39.

The square root of 85248561 is about 9233.0147297619. The cubic root of 85248561 is about 440.1111306759. Note that the first 4 decimals are identical.

The spelling of 85248561 in words is "eighty-five million, two hundred forty-eight thousand, five hundred sixty-one".