13962 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4272.

The previous prime is 13933. The next prime is 13963. The reversal of 13962 is 26931.

13962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13963) by changing a digit.

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, 12 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹³⁹⁶² is an apocalyptic number.

13962 is an abundant number, since it is smaller than the sum of its proper divisors (16278).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

13962 is a wasteful number, since it uses less digits than its factorization.

13962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197.

The product of its digits is 324, while the sum is 21.

The square root of 13962 is about 118.1609072409. The cubic root of 13962 is about 24.0795968336.

The spelling of 13962 in words is "thirteen thousand, nine hundred sixty-two".