13702 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 5760.

The previous prime is 13697. The next prime is 13709. The reversal of 13702 is 20731.

13702 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709) by changing a digit.

13702 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹³⁷⁰² is an apocalyptic number.

13702 is a deficient number, since it is larger than the sum of its proper divisors (10490).

13702 is a wasteful number, since it uses less digits than its factorization.

13702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13702 is about 117.0555423720. The cubic root of 13702 is about 23.9291894313.

Subtracting from 13702 its sum of digits (13), we obtain a square (13689 = 117²).

The spelling of 13702 in words is "thirteen thousand, seven hundred two".