Search a number
-
+
329685973 is a prime number
BaseRepresentation
bin10011101001101…
…001101111010101
3211222100210010121
4103221221233111
51133344422343
652414151541
711112166411
oct2351515725
9758323117
10329685973
1115a10aa51
12924b25b1
13533c2b76
1431addd41
151de24aed
hex13a69bd5

329685973 has 2 divisors, whose sum is σ = 329685974. Its totient is φ = 329685972.

The previous prime is 329685971. The next prime is 329685977. The reversal of 329685973 is 379586923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 117896164 = 14553^2 + 10858^2 .

It is a cyclic number.

It is not a de Polignac number, because 329685973 - 21 = 329685971 is a prime.

Together with 329685971, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 329685973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329685971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164842986 + 164842987.

It is an arithmetic number, because the mean of its divisors is an integer number (164842987).

Almost surely, 2329685973 is an apocalyptic number.

It is an amenable number.

329685973 is a deficient number, since it is larger than the sum of its proper divisors (1).

329685973 is an equidigital number, since it uses as much as digits as its factorization.

329685973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2449440, while the sum is 52.

The square root of 329685973 is about 18157.2567586626. The cubic root of 329685973 is about 690.8230555081.

The spelling of 329685973 in words is "three hundred twenty-nine million, six hundred eighty-five thousand, nine hundred seventy-three".