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966930313 is a prime number
BaseRepresentation
bin111001101000100…
…010111110001001
32111101110011000211
4321220202332021
53440013232223
6235540401121
732650525546
oct7150427611
92441404024
10966930313
11456897068
1222b9a61a1
1312542bc1b
14925bdbcd
1559d4cd0d
hex39a22f89

966930313 has 2 divisors, whose sum is σ = 966930314. Its totient is φ = 966930312.

The previous prime is 966930299. The next prime is 966930317. The reversal of 966930313 is 313039669.

It is a happy number.

966930313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 902882304 + 64048009 = 30048^2 + 8003^2 .

It is an emirp because it is prime and its reverse (313039669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966930313 - 29 = 966929801 is a prime.

It is not a weakly prime, because it can be changed into another prime (966930317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483465156 + 483465157.

It is an arithmetic number, because the mean of its divisors is an integer number (483465157).

Almost surely, 2966930313 is an apocalyptic number.

It is an amenable number.

966930313 is a deficient number, since it is larger than the sum of its proper divisors (1).

966930313 is an equidigital number, since it uses as much as digits as its factorization.

966930313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 40.

The square root of 966930313 is about 31095.5030993229. The cubic root of 966930313 is about 988.8529765639.

The spelling of 966930313 in words is "nine hundred sixty-six million, nine hundred thirty thousand, three hundred thirteen".