67563 has 6 divisors (see below), whose sum is σ = 97604. Its totient is φ = 45036.

The previous prime is 67559. The next prime is 67567. The reversal of 67563 is 36576.

It is an interprime number because it is at equal distance from previous prime (67559) and next prime (67567).

It is not a de Polignac number, because 67563 - 2² = 67559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3745 + ... + 3762.

2⁶⁷⁵⁶³ is an apocalyptic number.

67563 is a deficient number, since it is larger than the sum of its proper divisors (30041).

67563 is a wasteful number, since it uses less digits than its factorization.

67563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7510 counting only the distinct ones).

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

The square root of 67563 is about 259.9288364149. The cubic root of 67563 is about 40.7289275922.

It can be divided in two parts, 67 and 563, that added together give a triangular number (630 = T₃₅).

The spelling of 67563 in words is "sixty-seven thousand, five hundred sixty-three".