63717 has 8 divisors (see below), whose sum is σ = 86496. Its totient is φ = 41712.

The previous prime is 63709. The next prime is 63719. The reversal of 63717 is 71736.

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

It is not a de Polignac number, because 63717 - 2³ = 63709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (10812).

2⁶³⁷¹⁷ is an apocalyptic number.

63717 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

63717 is a deficient number, since it is larger than the sum of its proper divisors (22779).

63717 is a wasteful number, since it uses less digits than its factorization.

63717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its digits is 882, while the sum is 24.

The square root of 63717 is about 252.4222652620. The cubic root of 63717 is about 39.9409545504.

Subtracting from 63717 its product of digits (882), we obtain a triangular number (62835 = T₃₅₄).

It can be divided in two parts, 63 and 717, that added together give a triangular number (780 = T₃₉).

The spelling of 63717 in words is "sixty-three thousand, seven hundred seventeen".