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981646129 is a prime number
BaseRepresentation
bin111010100000101…
…011101100110001
32112102010210100001
4322200223230301
54002300134004
6241224030001
733216566032
oct7240535461
92472123301
10981646129
114641282a2
12234902301
131284b20c9
1494530a89
155b2a81a4
hex3a82bb31

981646129 has 2 divisors, whose sum is σ = 981646130. Its totient is φ = 981646128.

The previous prime is 981646091. The next prime is 981646157. The reversal of 981646129 is 921646189.

It is a happy number.

981646129 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., 913550625 + 68095504 = 30225^2 + 8252^2 .

It is an emirp because it is prime and its reverse (921646189) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 981646129 - 29 = 981645617 is a prime.

It is equal to p49961179 and since 981646129 and 49961179 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (981646199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490823064 + 490823065.

It is an arithmetic number, because the mean of its divisors is an integer number (490823065).

Almost surely, 2981646129 is an apocalyptic number.

It is an amenable number.

981646129 is a deficient number, since it is larger than the sum of its proper divisors (1).

981646129 is an equidigital number, since it uses as much as digits as its factorization.

981646129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 46.

The square root of 981646129 is about 31331.2324845353. The cubic root of 981646129 is about 993.8442272161.

It can be divided in two parts, 9816 and 46129, that added together give a triangular number (55945 = T334).

The spelling of 981646129 in words is "nine hundred eighty-one million, six hundred forty-six thousand, one hundred twenty-nine".