13652 has 6 divisors (see below), whose sum is σ = 23898. Its totient is φ = 6824.

The previous prime is 13649. The next prime is 13669. The reversal of 13652 is 25631.

13652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13456 + 196 = 116^2 + 14^2 .

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 13652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1703 + ... + 1710.

It is an arithmetic number, because the mean of its divisors is an integer number (3983).

2¹³⁶⁵² is an apocalyptic number.

It is an amenable number.

13652 is a deficient number, since it is larger than the sum of its proper divisors (10246).

13652 is a wasteful number, since it uses less digits than its factorization.

13652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3415 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 13652 is about 116.8417733518. The cubic root of 13652 is about 23.9000472680.

The spelling of 13652 in words is "thirteen thousand, six hundred fifty-two".