Search a number
-
+
966072097 is a prime number
BaseRepresentation
bin111001100101010…
…001011100100001
32111022211112210001
4321211101130201
53434303301342
6235510140001
732640322504
oct7145213441
92438745701
10966072097
114563602a1
1222b651601
131251bb3c3
149243913b
1559c2d8b7
hex39951721

966072097 has 2 divisors, whose sum is σ = 966072098. Its totient is φ = 966072096.

The previous prime is 966072089. The next prime is 966072139. The reversal of 966072097 is 790270669.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636250176 + 329821921 = 25224^2 + 18161^2 .

It is an emirp because it is prime and its reverse (790270669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966072097 - 23 = 966072089 is a prime.

It is not a weakly prime, because it can be changed into another prime (966072007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483036048 + 483036049.

It is an arithmetic number, because the mean of its divisors is an integer number (483036049).

Almost surely, 2966072097 is an apocalyptic number.

It is an amenable number.

966072097 is a deficient number, since it is larger than the sum of its proper divisors (1).

966072097 is an equidigital number, since it uses as much as digits as its factorization.

966072097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 966072097 is about 31081.7003556755. The cubic root of 966072097 is about 988.5603320177.

The spelling of 966072097 in words is "nine hundred sixty-six million, seventy-two thousand, ninety-seven".