12654 has 24 divisors (see below), whose sum is σ = 29640. Its totient is φ = 3888.

The previous prime is 12653. The next prime is 12659. The reversal of 12654 is 45621.

It is a happy number.

12654 is a `hidden beast` number, since 12 + 654 = 666.

12654 is nontrivially palindromic in base 5 and base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (1235).

2¹²⁶⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820).

12654 is an abundant number, since it is smaller than the sum of its proper divisors (16986).

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

12654 is a wasteful number, since it uses less digits than its factorization.

12654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12654 is about 112.4899995555. The cubic root of 12654 is about 23.3028627206.

12654 divided by its sum of digits (18) gives a triangular number (703 = T₃₇).

It can be divided in two parts, 12 and 654, that added together give a palindrome (666).

The spelling of 12654 in words is "twelve thousand, six hundred fifty-four".