63523 has 4 divisors (see below), whose sum is σ = 64120. Its totient is φ = 62928.

The previous prime is 63521. The next prime is 63527. The reversal of 63523 is 32536.

63523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 63523 - 2¹ = 63521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63523.

It is not an unprimeable number, because it can be changed into a prime (63521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (16030).

2⁶³⁵²³ is an apocalyptic number.

63523 is a deficient number, since it is larger than the sum of its proper divisors (597).

63523 is a wasteful number, since it uses less digits than its factorization.

63523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its digits is 540, while the sum is 19.

The square root of 63523 is about 252.0376955933. The cubic root of 63523 is about 39.9003770879.

Subtracting from 63523 its sum of digits (19), we obtain a square (63504 = 252²).

The spelling of 63523 in words is "sixty-three thousand, five hundred twenty-three".