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966164581 is a prime number
BaseRepresentation
bin111001100101101…
…000000001100101
32111100000020122101
4321211220001211
53434314231311
6235512132101
732641156234
oct7145500145
92440006571
10966164581
11456413828
1222b697031
13125221525
1492460b1b
1559c4aec1
hex39968065

966164581 has 2 divisors, whose sum is σ = 966164582. Its totient is φ = 966164580.

The previous prime is 966164579. The next prime is 966164597. The reversal of 966164581 is 185461669.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942797025 + 23367556 = 30705^2 + 4834^2 .

It is an emirp because it is prime and its reverse (185461669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966164581 - 21 = 966164579 is a prime.

It is a super-2 number, since 2×9661645812 = 1866947995157811122, which contains 22 as substring.

Together with 966164579, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (966164501) 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, 483082290 + 483082291.

It is an arithmetic number, because the mean of its divisors is an integer number (483082291).

Almost surely, 2966164581 is an apocalyptic number.

It is an amenable number.

966164581 is a deficient number, since it is larger than the sum of its proper divisors (1).

966164581 is an equidigital number, since it uses as much as digits as its factorization.

966164581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 46.

The square root of 966164581 is about 31083.1880765149. The cubic root of 966164581 is about 988.5918766255.

It can be divided in two parts, 966164 and 581, that added together give a triangular number (966745 = T1390).

The spelling of 966164581 in words is "nine hundred sixty-six million, one hundred sixty-four thousand, five hundred eighty-one".