523629 has 12 divisors (see below), whose sum is σ = 767676. Its totient is φ = 343872.

The previous prime is 523603. The next prime is 523631. The reversal of 523629 is 926325.

It can be written as a sum of positive squares in 2 ways, for example, as 275625 + 248004 = 525^2 + 498^2 .

It is not a de Polignac number, because 523629 - 2⁵ = 523597 is a prime.

It is a d-powerful number, because it can be written as 5² + 2⁸ + 6⁷ + 3¹¹ + 2¹⁶ + 9³ .

523629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (63973).

2⁵²³⁶²⁹ is an apocalyptic number.

It is an amenable number.

523629 is a deficient number, since it is larger than the sum of its proper divisors (244047).

523629 is a wasteful number, since it uses less digits than its factorization.

523629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 523629 is about 723.6221389648. The cubic root of 523629 is about 80.6011485243.

The spelling of 523629 in words is "five hundred twenty-three thousand, six hundred twenty-nine".