1293984641 has 8 divisors (see below), whose sum is σ = 1343706504. Its totient is φ = 1245127680.

The previous prime is 1293984619. The next prime is 1293984649. The reversal of 1293984641 is 1464893921.

It can be written as a sum of positive squares in 4 ways, for example, as 863041 + 1293121600 = 929^2 + 35960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1293984641 - 2²⁶ = 1226875777 is a prime.

It is a super-2 number, since 2×1293984641² = 3348792502287797762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1293984649) 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 7 ways as a sum of consecutive naturals, for example, 213176 + ... + 219161.

It is an arithmetic number, because the mean of its divisors is an integer number (167963313).

Almost surely, 2^1293984641 is an apocalyptic number.

It is an amenable number.

1293984641 is a deficient number, since it is larger than the sum of its proper divisors (49721863).

1293984641 is an equidigital number, since it uses as much as digits as its factorization.

1293984641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432451.

The product of its digits is 373248, while the sum is 47.

The square root of 1293984641 is about 35971.9980123429. The cubic root of 1293984641 is about 1089.7069158426.

The spelling of 1293984641 in words is "one billion, two hundred ninety-three million, nine hundred eighty-four thousand, six hundred forty-one".