12962 has 4 divisors (see below), whose sum is σ = 19446. Its totient is φ = 6480.

The previous prime is 12959. The next prime is 12967. The reversal of 12962 is 26921.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 5041 = 89^2 + 71^2 .

It is a super-3 number, since 3×12962³ = 6533370783384, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3239 + ... + 3242.

2¹²⁹⁶² is an apocalyptic number.

12962 is a deficient number, since it is larger than the sum of its proper divisors (6484).

12962 is an equidigital number, since it uses as much as digits as its factorization.

12962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483.

The product of its digits is 216, while the sum is 20.

The square root of 12962 is about 113.8507795318. The cubic root of 12962 is about 23.4904140773.

It can be divided in two parts, 129 and 62, that added together give a palindrome (191).

The spelling of 12962 in words is "twelve thousand, nine hundred sixty-two".