13202 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 5280.

The previous prime is 13187. The next prime is 13217. The reversal of 13202 is 20231.

Adding to 13202 its reverse (20231), we get a palindrome (33433).

13202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13187) and next prime (13217).

It is a nialpdrome in base 7.

It is a self number, because there is not a number *n* which added to its sum of digits gives 13202.

It is a congruent number.

It is an unprimeable number.

13202 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, 302 + ... + 342.

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

2^{13202} is an apocalyptic number.

13202 is a deficient number, since it is larger than the sum of its proper divisors (10990).

13202 is a wasteful number, since it uses less digits than its factorization.

13202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13202 is about 114.8999564839. The cubic root of 13202 is about 23.6345085508.

The spelling of 13202 in words is "thirteen thousand, two hundred two".

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