1293768961 has 3 divisors (see below), whose sum is σ = 1293804931. Its totient is φ = 1293732992.

The previous prime is 1293768943. The next prime is 1293768977. The reversal of 1293768961 is 1698673921.

It is a happy number.

The square root of 1293768961 is 35969.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1205408961 + 88360000 = 34719^2 + 9400^2 .

It is not a de Polignac number, because 1293768961 - 2⁹ = 1293768449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1293768899 and 1293768908.

It is not an unprimeable number, because it can be changed into a prime (1293768361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17985 + ... + 53953.

Almost surely, 2^1293768961 is an apocalyptic number.

1293768961 is the 35969-th square number.

1293768961 is the 17985-th centered octagonal number.

It is an amenable number.

1293768961 is a deficient number, since it is larger than the sum of its proper divisors (35970).

1293768961 is an frugal number, since it uses more digits than its factorization.

1293768961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71938 (or 35969 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The cubic root of 1293768961 is about 1089.6463687440.

The spelling of 1293768961 in words is "one billion, two hundred ninety-three million, seven hundred sixty-eight thousand, nine hundred sixty-one".