1296006921 has 72 divisors (see below), whose sum is σ = 2186009280. Its totient is φ = 737732160.

The previous prime is 1296006911. The next prime is 1296006931.

1296006921 is a `hidden beast` number, since 1 + 29 + 600 + 6 + 9 + 21 = 666.

1296006921 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1296006911) and next prime (1296006931).

It is not a de Polignac number, because 1296006921 - 2⁹ = 1296006409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1296006911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1477335 + ... + 1478211.

It is an arithmetic number, because the mean of its divisors is an integer number (30361240).

Almost surely, 2^1296006921 is an apocalyptic number.

1296006921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1296006921 is a deficient number, since it is larger than the sum of its proper divisors (890002359).

1296006921 is a wasteful number, since it uses less digits than its factorization.

1296006921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

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

The square root of 1296006921 is about 36000.0961248717. The cubic root of 1296006921 is about 1090.2742964816.

The spelling of 1296006921 in words is "one billion, two hundred ninety-six million, six thousand, nine hundred twenty-one".