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967968613 is a prime number
BaseRepresentation
bin111001101100100…
…000011101100101
32111110101220022101
4321230200131211
53440244443423
6240014532101
732662411633
oct7154403545
92443356271
10967968613
11457436167
12230207031
131257036c1
14927b0353
1559ea57ad
hex39b20765

967968613 has 2 divisors, whose sum is σ = 967968614. Its totient is φ = 967968612.

The previous prime is 967968611. The next prime is 967968629. The reversal of 967968613 is 316869769.

967968613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 12702-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 861011649 + 106956964 = 29343^2 + 10342^2 .

It is a cyclic number.

It is not a de Polignac number, because 967968613 - 21 = 967968611 is a prime.

Together with 967968611, 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 (967968611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483984306 + 483984307.

It is an arithmetic number, because the mean of its divisors is an integer number (483984307).

Almost surely, 2967968613 is an apocalyptic number.

It is an amenable number.

967968613 is a deficient number, since it is larger than the sum of its proper divisors (1).

967968613 is an equidigital number, since it uses as much as digits as its factorization.

967968613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328, while the sum is 55.

The square root of 967968613 is about 31112.1939599251. The cubic root of 967968613 is about 989.2067968781.

The spelling of 967968613 in words is "nine hundred sixty-seven million, nine hundred sixty-eight thousand, six hundred thirteen".