63654 has 12 divisors (see below), whose sum is σ = 128556. Its totient is φ = 21012.

The previous prime is 63649. The next prime is 63659. The reversal of 63654 is 45636.

63654 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (63649) and next prime (63659).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (2160) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63654.

It is not an unprimeable number, because it can be changed into a prime (63659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (10713).

2⁶³⁶⁵⁴ is an apocalyptic number.

63654 is an abundant number, since it is smaller than the sum of its proper divisors (64902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64278).

63654 is a wasteful number, since it uses less digits than its factorization.

63654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 108 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 63654 is about 252.2974435067. The cubic root of 63654 is about 39.9277863749.

Multiplying 63654 by its sum of digits (24), we get a square (1527696 = 1236²).

It can be divided in two parts, 63 and 654, that added together give a palindrome (717).

The spelling of 63654 in words is "sixty-three thousand, six hundred fifty-four".