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967320901 is a prime number
BaseRepresentation
bin111001101010000…
…010010101000101
32111102011222211001
4321222002111011
53440113232101
6235553013301
732654043361
oct7152022505
92442158731
10967320901
11457033568
1222bb54231
13125537941
14926822a1
1559dc8901
hex39a82545

967320901 has 2 divisors, whose sum is σ = 967320902. Its totient is φ = 967320900.

The previous prime is 967320889. The next prime is 967320911. The reversal of 967320901 is 109023769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 711288900 + 256032001 = 26670^2 + 16001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-967320901 is a prime.

It is a super-2 number, since 2×9673209012 = 1871419451022903602, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967320911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483660450 + 483660451.

It is an arithmetic number, because the mean of its divisors is an integer number (483660451).

Almost surely, 2967320901 is an apocalyptic number.

It is an amenable number.

967320901 is a deficient number, since it is larger than the sum of its proper divisors (1).

967320901 is an equidigital number, since it uses as much as digits as its factorization.

967320901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 967320901 is about 31101.7829231702. The cubic root of 967320901 is about 988.9861064999.

The spelling of 967320901 in words is "nine hundred sixty-seven million, three hundred twenty thousand, nine hundred one".