97100001 has 12 divisors (see below), whose sum is σ = 142177828. Its totient is φ = 63846144.

The previous prime is 97099999. The next prime is 97100027. The reversal of 97100001 is 10000179.

It can be written as a sum of positive squares in 2 ways, for example, as 64883025 + 32216976 = 8055^2 + 5676^2 .

It is not a de Polignac number, because 97100001 - 2¹ = 97099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97104001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73240 + ... + 74553.

Almost surely, 2^97100001 is an apocalyptic number.

It is an amenable number.

97100001 is a deficient number, since it is larger than the sum of its proper divisors (45077827).

97100001 is a wasteful number, since it uses less digits than its factorization.

97100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147872 (or 147869 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 97100001 is about 9853.9332756012. The cubic root of 97100001 is about 459.6279300721.

The spelling of 97100001 in words is "ninety-seven million, one hundred thousand, one".