85824035 has 24 divisors (see below), whose sum is σ = 114204816. Its totient is φ = 61402880.

The previous prime is 85824031. The next prime is 85824059. The reversal of 85824035 is 53042858.

It is not a de Polignac number, because 85824035 - 2² = 85824031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85823986 and 85824004.

It is not an unprimeable number, because it can be changed into a prime (85824031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435557 + ... + 435753.

It is an arithmetic number, because the mean of its divisors is an integer number (4758534).

Almost surely, 2^85824035 is an apocalyptic number.

85824035 is a deficient number, since it is larger than the sum of its proper divisors (28380781).

85824035 is a wasteful number, since it uses less digits than its factorization.

85824035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 85824035 is about 9264.1262405043. The cubic root of 85824035 is about 441.0992401474.

The spelling of 85824035 in words is "eighty-five million, eight hundred twenty-four thousand, thirty-five".