9997129 has 2 divisors, whose sum is σ = 9997130. Its totient is φ = 9997128.

The previous prime is 9997123. The next prime is 9997133. The reversal of 9997129 is 9217999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8133904 + 1863225 = 2852^2 + 1365^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997129 - 2⁹ = 9996617 is a prime.

9997129 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (9997123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4998564 + 4998565.

It is an arithmetic number, because the mean of its divisors is an integer number (4998565).

Almost surely, 2^9997129 is an apocalyptic number.

It is an amenable number.

9997129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997129 is an equidigital number, since it uses as much as digits as its factorization.

9997129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 91854, while the sum is 46.

The square root of 9997129 is about 3161.8236826237. The cubic root of 9997129 is about 215.4228490898.

It can be divided in two parts, 99971 and 29, that added together give a 5-th power (100000 = 10⁵).

The spelling of 9997129 in words is "nine million, nine hundred ninety-seven thousand, one hundred twenty-nine".