63693 has 16 divisors (see below), whose sum is σ = 108160. Its totient is φ = 36288.

The previous prime is 63691. The next prime is 63697. The reversal of 63693 is 39636.

It is not a de Polignac number, because 63693 - 2¹ = 63691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (6760).

2⁶³⁶⁹³ is an apocalyptic number.

63693 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

63693 is a deficient number, since it is larger than the sum of its proper divisors (44467).

63693 is a wasteful number, since it uses less digits than its factorization.

63693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 63693 is about 252.3747213966. The cubic root of 63693 is about 39.9359391265.

It can be divided in two parts, 636 and 93, that added together give a 6-th power (729 = 3⁶).

The spelling of 63693 in words is "sixty-three thousand, six hundred ninety-three".