972052241 has 2 divisors, whose sum is σ = 972052242. Its totient is φ = 972052240.

The previous prime is 972052201. The next prime is 972052273. The reversal of 972052241 is 142250279.

972052241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (972052273) can be obtained adding 972052241 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 648771841 + 323280400 = 25471^2 + 17980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972052241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972052198 and 972052207.

It is not a weakly prime, because it can be changed into another prime (972052201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486026120 + 486026121.

It is an arithmetic number, because the mean of its divisors is an integer number (486026121).

Almost surely, 2^972052241 is an apocalyptic number.

It is an amenable number.

972052241 is a deficient number, since it is larger than the sum of its proper divisors (1).

972052241 is an equidigital number, since it uses as much as digits as its factorization.

972052241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 972052241 is about 31177.7523404109. The cubic root of 972052241 is about 990.5959208506.

The spelling of 972052241 in words is "nine hundred seventy-two million, fifty-two thousand, two hundred forty-one".