Search a number
-
+
985968097 is a prime number
BaseRepresentation
bin111010110001001…
…010110111100001
32112201021100221221
4322301022313201
54004401434342
6241500415041
733301406362
oct7261126741
92481240857
10985968097
1146660a474
12236247481
1312936639a
1494d37b69
155b85da67
hex3ac4ade1

985968097 has 2 divisors, whose sum is σ = 985968098. Its totient is φ = 985968096.

The previous prime is 985968079. The next prime is 985968131. The reversal of 985968097 is 790869589.

Together with previous prime (985968079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817902801 + 168065296 = 28599^2 + 12964^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-985968097 is a prime.

It is a super-3 number, since 3×9859680973 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (985968037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492984048 + 492984049.

It is an arithmetic number, because the mean of its divisors is an integer number (492984049).

Almost surely, 2985968097 is an apocalyptic number.

It is an amenable number.

985968097 is a deficient number, since it is larger than the sum of its proper divisors (1).

985968097 is an equidigital number, since it uses as much as digits as its factorization.

985968097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9797760, while the sum is 61.

The square root of 985968097 is about 31400.1289328563. The cubic root of 985968097 is about 995.3006497001.

The spelling of 985968097 in words is "nine hundred eighty-five million, nine hundred sixty-eight thousand, ninety-seven".