13653 has 12 divisors (see below), whose sum is σ = 20748. Its totient is φ = 8640.

The previous prime is 13649. The next prime is 13669. The reversal of 13653 is 35631.

Added to its reverse (35631) it gives a square (49284 = 222²).

13653 is a `hidden beast` number, since 13 + 653 = 666.

13653 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 7569 = 78^2 + 87^2 .

It is not a de Polignac number, because 13653 - 2² = 13649 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13613) 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, 313 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (1729).

2¹³⁶⁵³ is an apocalyptic number.

It is an amenable number.

13653 is a deficient number, since it is larger than the sum of its proper divisors (7095).

13653 is a wasteful number, since it uses less digits than its factorization.

13653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 13653 is about 116.8460525649. The cubic root of 13653 is about 23.9006308080.

Adding to 13653 its reverse (35631), we get a square (49284 = 222²).

It can be divided in two parts, 1365 and 3, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 13653 in words is "thirteen thousand, six hundred fifty-three".