9892129601 has 2 divisors, whose sum is σ = 9892129602. Its totient is φ = 9892129600.

The previous prime is 9892129589. The next prime is 9892129607. The reversal of 9892129601 is 1069212989.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8045193025 + 1846936576 = 89695^2 + 42976^2 .

It is a cyclic number.

It is not a de Polignac number, because 9892129601 - 2¹⁰ = 9892128577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9892129607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4946064800 + 4946064801.

It is an arithmetic number, because the mean of its divisors is an integer number (4946064801).

Almost surely, 2^9892129601 is an apocalyptic number.

9892129601 is the 44480-th centered decagonal number.

It is an amenable number.

9892129601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9892129601 is an equidigital number, since it uses as much as digits as its factorization.

9892129601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 9892129601 is about 99459.1856039451. The cubic root of 9892129601 is about 2146.6600097392.

The spelling of 9892129601 in words is "nine billion, eight hundred ninety-two million, one hundred twenty-nine thousand, six hundred one".