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163749329 is a prime number
BaseRepresentation
bin10011100001010…
…01110111010001
3102102010022211222
421300221313101
5313404434304
624125414425
74025563202
oct1160516721
9372108758
10163749329
1184483327
1246a0a415
1327c041c3
1417a675a9
15e5984be
hex9c29dd1

163749329 has 2 divisors, whose sum is σ = 163749330. Its totient is φ = 163749328.

The previous prime is 163749319. The next prime is 163749331. The reversal of 163749329 is 923947361.

163749329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119858704 + 43890625 = 10948^2 + 6625^2 .

It is a cyclic number.

It is not a de Polignac number, because 163749329 - 28 = 163749073 is a prime.

Together with 163749331, it forms a pair of twin primes.

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 163749329.

It is not a weakly prime, because it can be changed into another prime (163749319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81874664 + 81874665.

It is an arithmetic number, because the mean of its divisors is an integer number (81874665).

Almost surely, 2163749329 is an apocalyptic number.

It is an amenable number.

163749329 is a deficient number, since it is larger than the sum of its proper divisors (1).

163749329 is an equidigital number, since it uses as much as digits as its factorization.

163749329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 244944, while the sum is 44.

The square root of 163749329 is about 12796.4576739034. The cubic root of 163749329 is about 547.0913434058.

The spelling of 163749329 in words is "one hundred sixty-three million, seven hundred forty-nine thousand, three hundred twenty-nine".