523073 has 8 divisors (see below), whose sum is σ = 573480. Its totient is φ = 474880.

The previous prime is 523049. The next prime is 523093. The reversal of 523073 is 370325.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 339889 = 428^2 + 583^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 523073 - 2¹⁴ = 506689 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (71685).

2⁵²³⁰⁷³ is an apocalyptic number.

It is an amenable number.

523073 is a deficient number, since it is larger than the sum of its proper divisors (50407).

523073 is a wasteful number, since it uses less digits than its factorization.

523073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 523073 is about 723.2378585224. The cubic root of 523073 is about 80.5726104375.

Adding to 523073 its reverse (370325), we get a palindrome (893398).

It can be divided in two parts, 52 and 3073, that added together give a 5-th power (3125 = 5⁵).

The spelling of 523073 in words is "five hundred twenty-three thousand, seventy-three".