85523823 has 64 divisors (see below), whose sum is σ = 163184640. Its totient is φ = 42962400.

The previous prime is 85523803. The next prime is 85523843. The reversal of 85523823 is 32832558.

It is an interprime number because it is at equal distance from previous prime (85523803) and next prime (85523843).

It is not a de Polignac number, because 85523823 - 2⁵ = 85523791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85523803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63786 + ... + 65112.

It is an arithmetic number, because the mean of its divisors is an integer number (2549760).

Almost surely, 2^85523823 is an apocalyptic number.

85523823 is a deficient number, since it is larger than the sum of its proper divisors (77660817).

85523823 is a wasteful number, since it uses less digits than its factorization.

85523823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85523823 is about 9247.9091150378. The cubic root of 85523823 is about 440.5843183808.

The spelling of 85523823 in words is "eighty-five million, five hundred twenty-three thousand, eight hundred twenty-three".