85872249 has 12 divisors (see below), whose sum is σ = 124829796. Its totient is φ = 56882592.

The previous prime is 85872239. The next prime is 85872251. The reversal of 85872249 is 94227858.

85872249 is a `hidden beast` number, since 8 + 587 + 22 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 34892649 = 7140^2 + 5907^2 .

It is not a de Polignac number, because 85872249 - 2⁵ = 85872217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85872239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28974 + ... + 31799.

It is an arithmetic number, because the mean of its divisors is an integer number (10402483).

Almost surely, 2^85872249 is an apocalyptic number.

It is an amenable number.

85872249 is a deficient number, since it is larger than the sum of its proper divisors (38957547).

85872249 is a wasteful number, since it uses less digits than its factorization.

85872249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60936 (or 60933 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85872249 is about 9266.7280633458. The cubic root of 85872249 is about 441.1818245405.

The spelling of 85872249 in words is "eighty-five million, eight hundred seventy-two thousand, two hundred forty-nine".