97222735505281 has 9 divisors (see below), whose sum is σ = 97520620878723. Its totient is φ = 96925757376360.

The previous prime is 97222735505263. The next prime is 97222735505299. The reversal of 97222735505281 is 18250553722279.

The square root of 97222735505281 is 9860159.

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

It is an interprime number because it is at equal distance from previous prime (97222735505263) and next prime (97222735505299).

It can be written as a sum of positive squares in only one way, i.e., 3422348301681 + 93800387203600 = 1849959^2 + 9685060^2 .

It is not a de Polignac number, because 97222735505281 - 2¹¹ = 97222735503233 is a prime.

It is a super-2 number, since 2×97222735505281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97222735505221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3263697735 + ... + 3263727523.

Almost surely, 2^{97222735505281} is an apocalyptic number.

97222735505281 is the 9860159-th square number.

97222735505281 is the 4930080-th centered octagonal number.

It is an amenable number.

97222735505281 is a deficient number, since it is larger than the sum of its proper divisors (297885373442).

97222735505281 is an frugal number, since it uses more digits than its factorization.

97222735505281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60240 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 97222735505281 in words is "ninety-seven trillion, two hundred twenty-two billion, seven hundred thirty-five million, five hundred five thousand, two hundred eighty-one".