Search a number
-
+
992788961 is a prime number
BaseRepresentation
bin111011001011001…
…100000111100001
32120012002220102112
4323023030013201
54013123221321
6242302525105
733413365313
oct7313140741
92505086375
10992788961
1146a44904a
12238596795
1312a8b3bb8
1495bd17b3
155c259a5b
hex3b2cc1e1

992788961 has 2 divisors, whose sum is σ = 992788962. Its totient is φ = 992788960.

The previous prime is 992788957. The next prime is 992789003. The reversal of 992788961 is 169887299.

992788961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 502432225 + 490356736 = 22415^2 + 22144^2 .

It is a cyclic number.

It is not a de Polignac number, because 992788961 - 22 = 992788957 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 992788961.

It is not a weakly prime, because it can be changed into another prime (992788561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496394480 + 496394481.

It is an arithmetic number, because the mean of its divisors is an integer number (496394481).

Almost surely, 2992788961 is an apocalyptic number.

It is an amenable number.

992788961 is a deficient number, since it is larger than the sum of its proper divisors (1).

992788961 is an equidigital number, since it uses as much as digits as its factorization.

992788961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3919104, while the sum is 59.

The square root of 992788961 is about 31508.5537751259. The cubic root of 992788961 is about 997.5905193994.

The spelling of 992788961 in words is "nine hundred ninety-two million, seven hundred eighty-eight thousand, nine hundred sixty-one".