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2257117 is a prime number
BaseRepresentation
bin1000100111000011011101
311020200011221
420213003131
51034211432
6120213341
725120342
oct10470335
94220157
102257117
111301895
1290a251
13610495
1442a7c9
152e8b97
hex2270dd

2257117 has 2 divisors, whose sum is σ = 2257118. Its totient is φ = 2257116.

The previous prime is 2257103. The next prime is 2257121. The reversal of 2257117 is 7117522.

It is a happy number.

2257117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1833316 + 423801 = 1354^2 + 651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2257117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2257091 and 2257100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257187) 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, 1128558 + 1128559.

It is an arithmetic number, because the mean of its divisors is an integer number (1128559).

22257117 is an apocalyptic number.

It is an amenable number.

2257117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257117 is an equidigital number, since it uses as much as digits as its factorization.

2257117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 25.

The square root of 2257117 is about 1502.3704603060. The cubic root of 2257117 is about 131.1750858961.

The spelling of 2257117 in words is "two million, two hundred fifty-seven thousand, one hundred seventeen".