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1037089 is a prime number
BaseRepresentation
bin11111101001100100001
31221200121201
43331030201
5231141324
634121201
711546404
oct3751441
91850551
101037089
116491a9
12420201
132a4081
141cdd3b
15157444
hexfd321

1037089 has 2 divisors, whose sum is σ = 1037090. Its totient is φ = 1037088.

The previous prime is 1037087. The next prime is 1037123. The reversal of 1037089 is 9807301.

1037089 = T830 + T831 + T832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 21025 = 1008^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 1037089 - 21 = 1037087 is a prime.

Together with 1037087, it forms a pair of twin primes.

1037089 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (1037081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518544 + 518545.

It is an arithmetic number, because the mean of its divisors is an integer number (518545).

21037089 is an apocalyptic number.

1037089 is the 832-nd centered triangular number.

It is an amenable number.

1037089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037089 is an equidigital number, since it uses as much as digits as its factorization.

1037089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1037089 is about 1018.3756674234. The cubic root of 1037089 is about 101.2213229765.

The spelling of 1037089 in words is "one million, thirty-seven thousand, eighty-nine".