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1288829 is a prime number
BaseRepresentation
bin100111010101001111101
32102110221102
410322221331
5312220304
643342445
713645343
oct4725175
92373842
101288829
11800353
12521a25
13361829
14257993
151a6d1e
hex13aa7d

1288829 has 2 divisors, whose sum is σ = 1288830. Its totient is φ = 1288828.

The previous prime is 1288823. The next prime is 1288831. The reversal of 1288829 is 9288821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 931225 + 357604 = 965^2 + 598^2 .

It is an emirp because it is prime and its reverse (9288821) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1288829 is a prime.

It is a super-2 number, since 2×12888292 = 3322160382482, which contains 22 as substring.

Together with 1288831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1288792 and 1288801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1288823) 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, 644414 + 644415.

It is an arithmetic number, because the mean of its divisors is an integer number (644415).

21288829 is an apocalyptic number.

It is an amenable number.

1288829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288829 is an equidigital number, since it uses as much as digits as its factorization.

1288829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 38.

The square root of 1288829 is about 1135.2660481138. The cubic root of 1288829 is about 108.8257744678.

The spelling of 1288829 in words is "one million, two hundred eighty-eight thousand, eight hundred twenty-nine".