97972181 has 4 divisors (see below), whose sum is σ = 98185164. Its totient is φ = 97759660.

The previous prime is 97972169. The next prime is 97972187. The reversal of 97972181 is 18127979.

The cubic root of 97972181 is 461.

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

97972181 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 1343281 + 96628900 = 1159^2 + 9830^2 .

It is not a de Polignac number, because 97972181 - 2¹⁴ = 97955797 is a prime.

It is a super-2 number, since 2×97972181² = 19197096499793522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97972187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212291 + ... + 212751.

It is an arithmetic number, because the mean of its divisors is an integer number (24546291).

Almost surely, 2^97972181 is an apocalyptic number.

It is an amenable number.

97972181 is a deficient number, since it is larger than the sum of its proper divisors (212983).

97972181 is an frugal number, since it uses more digits than its factorization.

97972181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 461 counting only the distinct ones).

The product of its digits is 63504, while the sum is 44.

The square root of 97972181 is about 9898.0897652022.

The spelling of 97972181 in words is "ninety-seven million, nine hundred seventy-two thousand, one hundred eighty-one".