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916129 is a prime number
BaseRepresentation
bin11011111101010100001
31201112200201
43133222201
5213304004
631345201
710533634
oct3375241
91645621
10916129
11576335
12382201
13260cb6
1419bc1b
151316a4
hexdfaa1

916129 has 2 divisors, whose sum is σ = 916130. Its totient is φ = 916128.

The previous prime is 916127. The next prime is 916141. The reversal of 916129 is 921619.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 893025 + 23104 = 945^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 916129 - 21 = 916127 is a prime.

Together with 916127, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

916129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 916097 and 916106.

It is not a weakly prime, because it can be changed into another prime (916121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 458064 + 458065.

It is an arithmetic number, because the mean of its divisors is an integer number (458065).

2916129 is an apocalyptic number.

It is an amenable number.

916129 is a deficient number, since it is larger than the sum of its proper divisors (1).

916129 is an equidigital number, since it uses as much as digits as its factorization.

916129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 28.

The square root of 916129 is about 957.1462793116. The cubic root of 916129 is about 97.1222817479.

It can be divided in two parts, 9 and 16129, that multiplied together give a square (145161 = 3812).

The spelling of 916129 in words is "nine hundred sixteen thousand, one hundred twenty-nine".