63567 has 12 divisors (see below), whose sum is σ = 105040. Its totient is φ = 36288.

The previous prime is 63559. The next prime is 63577. The reversal of 63567 is 76536.

It is not a de Polignac number, because 63567 - 2³ = 63559 is a prime.

It is a Duffinian number.

63567 is a modest number, since divided by 567 gives 63 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 63567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63527) 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, 442 + ... + 567.

2⁶³⁵⁶⁷ is an apocalyptic number.

63567 is a deficient number, since it is larger than the sum of its proper divisors (41473).

63567 is a wasteful number, since it uses less digits than its factorization.

63567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1019 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 63567 is about 252.1249690134. The cubic root of 63567 is about 39.9095874600.

It can be divided in two parts, 63 and 567, that multiplied together give a square (35721 = 189²).

The spelling of 63567 in words is "sixty-three thousand, five hundred sixty-seven".