63667 has 2 divisors, whose sum is σ = 63668. Its totient is φ = 63666.

The previous prime is 63659. The next prime is 63671. The reversal of 63667 is 76636.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 63667 - 2³ = 63659 is a prime.

It is not a weakly prime, because it can be changed into another prime (63607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31833 + 31834.

It is an arithmetic number, because the mean of its divisors is an integer number (31834).

2⁶³⁶⁶⁷ is an apocalyptic number.

63667 is a deficient number, since it is larger than the sum of its proper divisors (1).

63667 is an equidigital number, since it uses as much as digits as its factorization.

63667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 28.

The square root of 63667 is about 252.3232054330. The cubic root of 63667 is about 39.9305043287.

It can be divided in two parts, 636 and 67, that added together give a triangular number (703 = T₃₇).

The spelling of 63667 in words is "sixty-three thousand, six hundred sixty-seven".