12962961 has 24 divisors (see below), whose sum is σ = 21318336. Its totient is φ = 7513440.

The previous prime is 12962951. The next prime is 12962981. The reversal of 12962961 is 16926921.

12962961 is a `hidden beast` number, since 1 + 29 + 629 + 6 + 1 = 666.

12962961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12962961 - 2¹³ = 12954769 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12962941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (888264).

Almost surely, 2^12962961 is an apocalyptic number.

12962961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12962961 is a deficient number, since it is larger than the sum of its proper divisors (8355375).

12962961 is a wasteful number, since it uses less digits than its factorization.

12962961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5730 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12962961 is about 3600.4112265129. The cubic root of 12962961 is about 234.9099458781.

The spelling of 12962961 in words is "twelve million, nine hundred sixty-two thousand, nine hundred sixty-one".