63759 has 8 divisors (see below), whose sum is σ = 86832. Its totient is φ = 41600.

The previous prime is 63743. The next prime is 63761. The reversal of 63759 is 95736.

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 63759 - 2⁴ = 63743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63709) 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, 42 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (10854).

2⁶³⁷⁵⁹ is an apocalyptic number.

63759 is a deficient number, since it is larger than the sum of its proper divisors (23073).

63759 is a wasteful number, since it uses less digits than its factorization.

63759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its digits is 5670, while the sum is 30.

The square root of 63759 is about 252.5054454858. The cubic root of 63759 is about 39.9497285126.

It can be divided in two parts, 6375 and 9, that multiplied together give a palindrome (57375).

The spelling of 63759 in words is "sixty-three thousand, seven hundred fifty-nine".