97917129 has 24 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 63516960.

The previous prime is 97917107. The next prime is 97917191. The reversal of 97917129 is 92171979.

It is not a de Polignac number, because 97917129 - 2⁵ = 97917097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97917829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61704 + ... + 63270.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^97917129 is an apocalyptic number.

It is an amenable number.

97917129 is a deficient number, since it is larger than the sum of its proper divisors (47380023).

97917129 is a wasteful number, since it uses less digits than its factorization.

97917129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1754 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 97917129 is about 9895.3084337983. The cubic root of 97917129 is about 460.9136362764.

The spelling of 97917129 in words is "ninety-seven million, nine hundred seventeen thousand, one hundred twenty-nine".