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10997137 is a prime number
BaseRepresentation
bin101001111100…
…110110010001
3202200201020101
4221330312101
510303402022
61031412401
7162321424
oct51746621
922621211
1010997137
116231348
123824101
1323806a8
1416639bb
15e73627
hexa7cd91

10997137 has 2 divisors, whose sum is σ = 10997138. Its totient is φ = 10997136.

The previous prime is 10997123. The next prime is 10997149. The reversal of 10997137 is 73179901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 654481 = 3216^2 + 809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10997137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10997096 and 10997105.

It is not a weakly prime, because it can be changed into another prime (10997167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5498568 + 5498569.

It is an arithmetic number, because the mean of its divisors is an integer number (5498569).

Almost surely, 210997137 is an apocalyptic number.

It is an amenable number.

10997137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10997137 is an equidigital number, since it uses as much as digits as its factorization.

10997137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11907, while the sum is 37.

The square root of 10997137 is about 3316.1931487777. The cubic root of 10997137 is about 222.3787126706.

The spelling of 10997137 in words is "ten million, nine hundred ninety-seven thousand, one hundred thirty-seven".