997072129 has 2 divisors, whose sum is σ = 997072130. Its totient is φ = 997072128.

The previous prime is 997072079. The next prime is 997072157. The reversal of 997072129 is 921270799.

997072129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879241104 + 117831025 = 29652^2 + 10855^2 .

It is a cyclic number.

It is not a de Polignac number, because 997072129 - 2⁷ = 997072001 is a prime.

It is not a weakly prime, because it can be changed into another prime (997072169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498536064 + 498536065.

It is an arithmetic number, because the mean of its divisors is an integer number (498536065).

Almost surely, 2^997072129 is an apocalyptic number.

It is an amenable number.

997072129 is a deficient number, since it is larger than the sum of its proper divisors (1).

997072129 is an equidigital number, since it uses as much as digits as its factorization.

997072129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884, while the sum is 46.

The square root of 997072129 is about 31576.4489612116. The cubic root of 997072129 is about 999.0230889556.

The spelling of 997072129 in words is "nine hundred ninety-seven million, seventy-two thousand, one hundred twenty-nine".