63723 has 8 divisors (see below), whose sum is σ = 92736. Its totient is φ = 38600.

The previous prime is 63719. The next prime is 63727. The reversal of 63723 is 32736.

It is an interprime number because it is at equal distance from previous prime (63719) and next prime (63727).

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 63723 - 2² = 63719 is a prime.

It is a d-powerful number, because it can be written as 6³ + 3² + 7⁴ + 2¹¹ + 3¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 63723.

It is not an unprimeable number, because it can be changed into a prime (63727) 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, 933 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2⁶³⁷²³ is an apocalyptic number.

63723 is a deficient number, since it is larger than the sum of its proper divisors (29013).

63723 is a wasteful number, since it uses less digits than its factorization.

63723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its digits is 756, while the sum is 21.

The square root of 63723 is about 252.4341498292. The cubic root of 63723 is about 39.9422082096.

The spelling of 63723 in words is "sixty-three thousand, seven hundred twenty-three".