523104 has 24 divisors (see below), whose sum is σ = 1373400. Its totient is φ = 174336.

The previous prime is 523097. The next prime is 523109. The reversal of 523104 is 401325.

523104 = 57² + 58² + ... + 120².

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523109) by changing a digit.

523104 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 3 ways as a sum of consecutive naturals, for example, 2629 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (57225).

2⁵²³¹⁰⁴ is an apocalyptic number.

It is an amenable number.

523104 is an abundant number, since it is smaller than the sum of its proper divisors (850296).

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

523104 is a wasteful number, since it uses less digits than its factorization.

523104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 523104 is about 723.2592896050. The cubic root of 523104 is about 80.5742021220.

Adding to 523104 its reverse (401325), we get a palindrome (924429).

The spelling of 523104 in words is "five hundred twenty-three thousand, one hundred four".