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10537217 is a prime number
BaseRepresentation
bin101000001100…
…100100000001
3201211100100022
4220030210001
510144142332
61013503225
7155364515
oct50144401
921740308
1010537217
115a47849
123641b15
13224c252
141584145
15dd2212
hexa0c901

10537217 has 2 divisors, whose sum is σ = 10537218. Its totient is φ = 10537216.

The previous prime is 10537213. The next prime is 10537273. The reversal of 10537217 is 71273501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10086976 + 450241 = 3176^2 + 671^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537217 - 22 = 10537213 is a prime.

It is a super-2 number, since 2×105372172 = 222065884210178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10537211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268608 + 5268609.

It is an arithmetic number, because the mean of its divisors is an integer number (5268609).

Almost surely, 210537217 is an apocalyptic number.

It is an amenable number.

10537217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537217 is an equidigital number, since it uses as much as digits as its factorization.

10537217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10537217 is about 3246.1079772552. The cubic root of 10537217 is about 219.2343702765.

The spelling of 10537217 in words is "ten million, five hundred thirty-seven thousand, two hundred seventeen".