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1067284961 is a prime number
BaseRepresentation
bin111111100111010…
…111100111100001
32202101021200201122
4333213113213201
54141211104321
6253523342025
735306525651
oct7747274741
92671250648
101067284961
114a84aaa96
12259521915
13140167c82
14a1a64361
1563a728ab
hex3f9d79e1

1067284961 has 2 divisors, whose sum is σ = 1067284962. Its totient is φ = 1067284960.

The previous prime is 1067284931. The next prime is 1067284963. The reversal of 1067284961 is 1694827601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783160225 + 284124736 = 27985^2 + 16856^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067284961 - 226 = 1000176097 is a prime.

It is a super-2 number, since 2×10672849612 = 2278194375953543042, which contains 22 as substring.

Together with 1067284963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1067284963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533642480 + 533642481.

It is an arithmetic number, because the mean of its divisors is an integer number (533642481).

Almost surely, 21067284961 is an apocalyptic number.

It is an amenable number.

1067284961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067284961 is an equidigital number, since it uses as much as digits as its factorization.

1067284961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1067284961 is about 32669.3275259838. The cubic root of 1067284961 is about 1021.9432903839.

The spelling of 1067284961 in words is "one billion, sixty-seven million, two hundred eighty-four thousand, nine hundred sixty-one".