97518173841 has 27 divisors (see below), whose sum is σ = 154845493257. Its totient is φ = 59095677960.

The previous prime is 97518173791. The next prime is 97518173843. The reversal of 97518173841 is 14837181579.

The square root of 97518173841 is 312279.

It is a perfect power (a square), and thus also a powerful number.

97518173841 is a `hidden beast` number, since 97 + 518 + 1 + 7 + 38 + 4 + 1 = 666.

It is not a de Polignac number, because 97518173841 - 2¹⁵ = 97518141073 is a prime.

It is a super-3 number, since 3×97518173841³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97518173843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10300476 + ... + 10309938.

Almost surely, 2^97518173841 is an apocalyptic number.

97518173841 is the 312279-th square number.

97518173841 is the 156140-th centered octagonal number.

It is an amenable number.

97518173841 is a deficient number, since it is larger than the sum of its proper divisors (57327319416).

97518173841 is an frugal number, since it uses more digits than its factorization.

97518173841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 9477 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 97518173841 in words is "ninety-seven billion, five hundred eighteen million, one hundred seventy-three thousand, eight hundred forty-one".