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1007137 is a prime number
BaseRepresentation
bin11110101111000100001
31220011112101
43311320201
5224212022
633330401
711363155
oct3657041
91804471
101007137
1162874a
12406a01
13293551
141c3065
1514d627
hexf5e21

1007137 has 2 divisors, whose sum is σ = 1007138. Its totient is φ = 1007136.

The previous prime is 1007129. The next prime is 1007161. The reversal of 1007137 is 7317001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 929296 + 77841 = 964^2 + 279^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007137 - 23 = 1007129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007117) 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, 503568 + 503569.

It is an arithmetic number, because the mean of its divisors is an integer number (503569).

21007137 is an apocalyptic number.

It is an amenable number.

1007137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007137 is an equidigital number, since it uses as much as digits as its factorization.

1007137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 1007137 is about 1003.5621555240. The cubic root of 1007137 is about 100.2373362693.

The spelling of 1007137 in words is "one million, seven thousand, one hundred thirty-seven".