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1004137 is a prime number
BaseRepresentation
bin11110101001001101001
31220000102021
43311021221
5224113022
633304441
711351341
oct3651151
91800367
101004137
11626472
12405121
13292084
141c1d21
1514c7c7
hexf5269

1004137 has 2 divisors, whose sum is σ = 1004138. Its totient is φ = 1004136.

The previous prime is 1004119. The next prime is 1004141. The reversal of 1004137 is 7314001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 737881 + 266256 = 859^2 + 516^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004137 is a prime.

It is a super-2 number, since 2×10041372 = 2016582229538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1004137.

It is not a weakly prime, because it can be changed into another prime (1004117) 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, 502068 + 502069.

It is an arithmetic number, because the mean of its divisors is an integer number (502069).

21004137 is an apocalyptic number.

It is an amenable number.

1004137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004137 is an equidigital number, since it uses as much as digits as its factorization.

1004137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1004137 is about 1002.0663650677. The cubic root of 1004137 is about 100.1377102718.

Adding to 1004137 its reverse (7314001), we get a palindrome (8318138).

The spelling of 1004137 in words is "one million, four thousand, one hundred thirty-seven".