63524 has 6 divisors (see below), whose sum is σ = 111174. Its totient is φ = 31760.

The previous prime is 63521. The next prime is 63527. The reversal of 63524 is 42536.

63524 = T₁₂₂ + T₁₂₃ + ... + T₁₂₉.

It is an interprime number because it is at equal distance from previous prime (63521) and next prime (63527).

It can be written as a sum of positive squares in only one way, i.e., 62500 + 1024 = 250^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63496 and 63505.

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 as a sum of consecutive naturals, namely, 7937 + ... + 7944.

It is an arithmetic number, because the mean of its divisors is an integer number (18529).

2⁶³⁵²⁴ is an apocalyptic number.

It is an amenable number.

63524 is a deficient number, since it is larger than the sum of its proper divisors (47650).

63524 is a wasteful number, since it uses less digits than its factorization.

63524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15883 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 63524 is about 252.0396794158. The cubic root of 63524 is about 39.9005864617.

Subtracting from 63524 its sum of digits (20), we obtain a square (63504 = 252²).

The spelling of 63524 in words is "sixty-three thousand, five hundred twenty-four".