63971 has 8 divisors (see below), whose sum is σ = 69984. Its totient is φ = 58240.

The previous prime is 63949. The next prime is 63977. The reversal of 63971 is 17936.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 63971 - 2⁶ = 63907 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63971.

It is not an unprimeable number, because it can be changed into a prime (63977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (8748).

2⁶³⁹⁷¹ is an apocalyptic number.

63971 is a deficient number, since it is larger than the sum of its proper divisors (6013).

63971 is a wasteful number, since it uses less digits than its factorization.

63971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 1134, while the sum is 26.

The square root of 63971 is about 252.9248900365. The cubic root of 63971 is about 39.9939574206.

It can be divided in two parts, 639 and 71, that multiplied together give a square (45369 = 213²).

The spelling of 63971 in words is "sixty-three thousand, nine hundred seventy-one".