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972241021 is a prime number
BaseRepresentation
bin111001111100110…
…011100001111101
32111202102221221201
4321330303201331
53442343203041
6240250255501
733043624633
oct7174634175
92452387851
10972241021
11459894084
12231727591
1312656b25b
14931a3353
155a54b631
hex39f3387d

972241021 has 2 divisors, whose sum is σ = 972241022. Its totient is φ = 972241020.

The previous prime is 972241019. The next prime is 972241031. The reversal of 972241021 is 120142279.

It is the 12730-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872020900 + 100220121 = 29530^2 + 10011^2 .

It is a cyclic number.

It is not a de Polignac number, because 972241021 - 21 = 972241019 is a prime.

Together with 972241019, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972241031) 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 as a sum of consecutive naturals, namely, 486120510 + 486120511.

It is an arithmetic number, because the mean of its divisors is an integer number (486120511).

Almost surely, 2972241021 is an apocalyptic number.

It is an amenable number.

972241021 is a deficient number, since it is larger than the sum of its proper divisors (1).

972241021 is an equidigital number, since it uses as much as digits as its factorization.

972241021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 972241021 is about 31180.7796727407. The cubic root of 972241021 is about 990.6600438080.

The spelling of 972241021 in words is "nine hundred seventy-two million, two hundred forty-one thousand, twenty-one".