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10706257 is a prime number
BaseRepresentation
bin101000110101…
…110101010001
3202010221020001
4220311311101
510220100012
61021250001
7160000402
oct50656521
922127201
1010706257
116052851
123703901
1322ab183
1415c99a9
15e17357
hexa35d51

10706257 has 2 divisors, whose sum is σ = 10706258. Its totient is φ = 10706256.

The previous prime is 10706239. The next prime is 10706261. The reversal of 10706257 is 75260701.

10706257 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., 7054336 + 3651921 = 2656^2 + 1911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10706257 is a prime.

It is a super-2 number, since 2×107062572 = 229247877900098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10706287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5353128 + 5353129.

It is an arithmetic number, because the mean of its divisors is an integer number (5353129).

Almost surely, 210706257 is an apocalyptic number.

It is an amenable number.

10706257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10706257 is an equidigital number, since it uses as much as digits as its factorization.

10706257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10706257 is about 3272.0417173380. The cubic root of 10706257 is about 220.4004895120.

Adding to 10706257 its reverse (75260701), we get a palindrome (85966958).

The spelling of 10706257 in words is "ten million, seven hundred six thousand, two hundred fifty-seven".