63727 has 2 divisors, whose sum is σ = 63728. Its totient is φ = 63726.

The previous prime is 63719. The next prime is 63737. The reversal of 63727 is 72736.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 63727 - 2³ = 63719 is a prime.

It is a super-2 number, since 2×63727² = 8122261058, which contains 22 as substring.

63727 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31863 + 31864.

It is an arithmetic number, because the mean of its divisors is an integer number (31864).

2⁶³⁷²⁷ is an apocalyptic number.

63727 is a deficient number, since it is larger than the sum of its proper divisors (1).

63727 is an equidigital number, since it uses as much as digits as its factorization.

63727 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 25.

The square root of 63727 is about 252.4420725632. The cubic root of 63727 is about 39.9430439387.

Subtracting 63727 from its reverse (72736), we obtain a palindrome (9009).

The spelling of 63727 in words is "sixty-three thousand, seven hundred twenty-seven".