101997297 has 12 divisors (see below), whose sum is σ = 155996100. Its totient is φ = 63998208.

The previous prime is 101997257. The next prime is 101997317. The reversal of 101997297 is 792799101.

It can be written as a sum of positive squares in 2 ways, for example, as 37933281 + 64064016 = 6159^2 + 8004^2 .

It is not a de Polignac number, because 101997297 - 2⁸ = 101997041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101997257) 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 11 ways as a sum of consecutive naturals, for example, 333172 + ... + 333477.

It is an arithmetic number, because the mean of its divisors is an integer number (12999675).

Almost surely, 2^101997297 is an apocalyptic number.

101997297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101997297 is a deficient number, since it is larger than the sum of its proper divisors (53998803).

101997297 is a wasteful number, since it uses less digits than its factorization.

101997297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666672 (or 666669 counting only the distinct ones).

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

The square root of 101997297 is about 10099.3711190351. The cubic root of 101997297 is about 467.2287455754.

The spelling of 101997297 in words is "one hundred one million, nine hundred ninety-seven thousand, two hundred ninety-seven".