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10167397 is a prime number
BaseRepresentation
bin100110110010…
…010001100101
3201010120001021
4212302101211
510100324042
61001531141
7152264362
oct46622145
921116037
1010167397
115814a09
1234a3ab1
13214cb16
1414c9469
15d5c867
hex9b2465

10167397 has 2 divisors, whose sum is σ = 10167398. Its totient is φ = 10167396.

The previous prime is 10167373. The next prime is 10167431. The reversal of 10167397 is 79376101.

It is a happy number.

It is an a-pointer prime, because the next prime (10167431) can be obtained adding 10167397 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7761796 + 2405601 = 2786^2 + 1551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10167397 - 211 = 10165349 is a prime.

It is a super-3 number, since 3×101673973 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10167347) 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, 5083698 + 5083699.

It is an arithmetic number, because the mean of its divisors is an integer number (5083699).

Almost surely, 210167397 is an apocalyptic number.

It is an amenable number.

10167397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167397 is an equidigital number, since it uses as much as digits as its factorization.

10167397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 10167397 is about 3188.6356016328. The cubic root of 10167397 is about 216.6389758168.

The spelling of 10167397 in words is "ten million, one hundred sixty-seven thousand, three hundred ninety-seven".