85974849 has 6 divisors (see below), whose sum is σ = 124185906. Its totient is φ = 57316560.

The previous prime is 85974841. The next prime is 85974871. The reversal of 85974849 is 94847958.

85974849 is a `hidden beast` number, since 8 + 597 + 4 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75690000 + 10284849 = 8700^2 + 3207^2 .

It is not a de Polignac number, because 85974849 - 2³ = 85974841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85974795 and 85974804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85974841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4776372 + ... + 4776389.

It is an arithmetic number, because the mean of its divisors is an integer number (20697651).

Almost surely, 2^85974849 is an apocalyptic number.

It is an amenable number.

85974849 is a deficient number, since it is larger than the sum of its proper divisors (38211057).

85974849 is a wasteful number, since it uses less digits than its factorization.

85974849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552767 (or 9552764 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 85974849 is about 9272.2623452963. The cubic root of 85974849 is about 441.3574623438.

The spelling of 85974849 in words is "eighty-five million, nine hundred seventy-four thousand, eight hundred forty-nine".