85827849 has 16 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 51994880.

The previous prime is 85827821. The next prime is 85827877. The reversal of 85827849 is 94872858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85827821) and next prime (85827877).

It is a cyclic number.

It is not a de Polignac number, because 85827849 - 2⁵ = 85827817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85827899) 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, 27537 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^85827849 is an apocalyptic number.

It is an amenable number.

85827849 is a deficient number, since it is larger than the sum of its proper divisors (39521271).

85827849 is a wasteful number, since it uses less digits than its factorization.

85827849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58080.

The product of its digits is 1290240, while the sum is 51.

The square root of 85827849 is about 9264.3320860168. The cubic root of 85827849 is about 441.1057741662.

The spelling of 85827849 in words is "eighty-five million, eight hundred twenty-seven thousand, eight hundred forty-nine".