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1007117 is a prime number
BaseRepresentation
bin11110101111000001101
31220011111122
43311320031
5224211432
633330325
711363126
oct3657015
91804448
101007117
11628731
124069a5
13293537
141c304d
1514d612
hexf5e0d

1007117 has 2 divisors, whose sum is σ = 1007118. Its totient is φ = 1007116.

The previous prime is 1007099. The next prime is 1007119. The reversal of 1007117 is 7117001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 808201 + 198916 = 899^2 + 446^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007117 - 28 = 1006861 is a prime.

Together with 1007119, 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 = 1007095 and 1007104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503558 + 503559.

It is an arithmetic number, because the mean of its divisors is an integer number (503559).

21007117 is an apocalyptic number.

It is an amenable number.

1007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007117 is an equidigital number, since it uses as much as digits as its factorization.

1007117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 1007117 is about 1003.5521909697. The cubic root of 1007117 is about 100.2366727515.

The spelling of 1007117 in words is "one million, seven thousand, one hundred seventeen".