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10497577 is a prime number
BaseRepresentation
bin101000000010…
…111000101001
3201202022222011
4220002320221
510141410302
61012555521
7155141116
oct50027051
921668864
1010497577
115a1aa92
123622ba1
1322371ac
14157390d
15dc55d7
hexa02e29

10497577 has 2 divisors, whose sum is σ = 10497578. Its totient is φ = 10497576.

The previous prime is 10497569. The next prime is 10497581. The reversal of 10497577 is 77579401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5740816 + 4756761 = 2396^2 + 2181^2 .

It is a cyclic number.

It is not a de Polignac number, because 10497577 - 23 = 10497569 is a prime.

It is a super-3 number, since 3×104975773 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10497527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5248788 + 5248789.

It is an arithmetic number, because the mean of its divisors is an integer number (5248789).

Almost surely, 210497577 is an apocalyptic number.

It is an amenable number.

10497577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10497577 is an equidigital number, since it uses as much as digits as its factorization.

10497577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 10497577 is about 3239.9964506153. The cubic root of 10497577 is about 218.9591119290.

The spelling of 10497577 in words is "ten million, four hundred ninety-seven thousand, five hundred seventy-seven".