12961953 has 24 divisors (see below), whose sum is σ = 19259240. Its totient is φ = 8398080.

The previous prime is 12961943. The next prime is 12961961. The reversal of 12961953 is 35916921.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 12510369 = 672^2 + 3537^2 .

It is not a de Polignac number, because 12961953 - 2¹⁰ = 12960929 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 Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12961913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71523 + ... + 71703.

Almost surely, 2^12961953 is an apocalyptic number.

It is an amenable number.

12961953 is a deficient number, since it is larger than the sum of its proper divisors (6297287).

12961953 is a wasteful number, since it uses less digits than its factorization.

12961953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 12961953 is about 3600.2712397818. The cubic root of 12961953 is about 234.9038568536.

It can be divided in two parts, 1296 and 1953, that added together give a square (3249 = 57²).

The spelling of 12961953 in words is "twelve million, nine hundred sixty-one thousand, nine hundred fifty-three".