9972121567 has 2 divisors, whose sum is σ = 9972121568. Its totient is φ = 9972121566.

The previous prime is 9972121517. The next prime is 9972121589. The reversal of 9972121567 is 7651212799.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (7651212799) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9972121567 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9972121567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9972121507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986060783 + 4986060784.

It is an arithmetic number, because the mean of its divisors is an integer number (4986060784).

Almost surely, 2^9972121567 is an apocalyptic number.

9972121567 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972121567 is an equidigital number, since it uses as much as digits as its factorization.

9972121567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 476280, while the sum is 49.

The square root of 9972121567 is about 99860.5105484646. The cubic root of 9972121567 is about 2152.4307512155.

The spelling of 9972121567 in words is "nine billion, nine hundred seventy-two million, one hundred twenty-one thousand, five hundred sixty-seven".