523712 has 42 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 223104.

The previous prime is 523681. The next prime is 523717. The reversal of 523712 is 217325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523717) by changing a digit.

523712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3053 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (28956).

2⁵²³⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

523712 is an abundant number, since it is smaller than the sum of its proper divisors (692440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

523712 is a wasteful number, since it uses less digits than its factorization.

523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 523712 is about 723.6794870659. The cubic root of 523712 is about 80.6054069731.

The spelling of 523712 in words is "five hundred twenty-three thousand, seven hundred twelve".