97129001 has 2 divisors, whose sum is σ = 97129002. Its totient is φ = 97129000.

The previous prime is 97128961. The next prime is 97129003. The reversal of 97129001 is 10092179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53304601 + 43824400 = 7301^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 97129001 - 2⁶ = 97128937 is a prime.

Together with 97129003, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_5605571 and since 97129001 and 5605571 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (97129003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48564500 + 48564501.

It is an arithmetic number, because the mean of its divisors is an integer number (48564501).

Almost surely, 2^97129001 is an apocalyptic number.

It is an amenable number.

97129001 is a deficient number, since it is larger than the sum of its proper divisors (1).

97129001 is an equidigital number, since it uses as much as digits as its factorization.

97129001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 97129001 is about 9855.4046593735. The cubic root of 97129001 is about 459.6736831895.

The spelling of 97129001 in words is "ninety-seven million, one hundred twenty-nine thousand, one".