523827 has 20 divisors (see below), whose sum is σ = 813120. Its totient is φ = 335664.

The previous prime is 523801. The next prime is 523829. The reversal of 523827 is 728325.

It is not a de Polignac number, because 523827 - 2⁶ = 523763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 523827.

It is not an unprimeable number, because it can be changed into a prime (523829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2238 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

2⁵²³⁸²⁷ is an apocalyptic number.

523827 is a deficient number, since it is larger than the sum of its proper divisors (289293).

523827 is a wasteful number, since it uses less digits than its factorization.

523827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 523827 is about 723.7589377686. The cubic root of 523827 is about 80.6113064900.

It can be divided in two parts, 5 and 23827, that added together give a palindrome (23832).

The spelling of 523827 in words is "five hundred twenty-three thousand, eight hundred twenty-seven".