63522 has 12 divisors (see below), whose sum is σ = 137670. Its totient is φ = 21168.

The previous prime is 63521. The next prime is 63527. The reversal of 63522 is 22536.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 1521 = 249^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3529 = 63522 / (6 + 3 + 5 + 2 + 2).

It is a d-powerful number, because it can be written as 6⁶ + 3⁶ + 5⁶ + 2⁸ + 2⁸ .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63495 and 63504.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1747 + ... + 1782.

2⁶³⁵²² is an apocalyptic number.

63522 is an abundant number, since it is smaller than the sum of its proper divisors (74148).

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

63522 is a wasteful number, since it uses less digits than its factorization.

63522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3534 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 63522 is about 252.0357117553. The cubic root of 63522 is about 39.9001677118.

Subtracting from 63522 its sum of digits (18), we obtain a square (63504 = 252²).

It can be divided in two parts, 63 and 522, that added together give a palindrome (585).

The spelling of 63522 in words is "sixty-three thousand, five hundred twenty-two".