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166368337 is a prime number
BaseRepresentation
bin10011110101010…
…01010001010001
3102121001101110021
421322221101101
5320042241322
624301503441
74060051612
oct1172512121
9377041407
10166368337
1185a01aa3
1247871b81
1328610305
1418149c09
15e9144c7
hex9ea9451

166368337 has 2 divisors, whose sum is σ = 166368338. Its totient is φ = 166368336.

The previous prime is 166368299. The next prime is 166368373. The reversal of 166368337 is 733863661.

Together with next prime (166368373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165997456 + 370881 = 12884^2 + 609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166368337 is a prime.

It is a super-3 number, since 3×1663683373 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 166368293 and 166368302.

It is not a weakly prime, because it can be changed into another prime (166068337) 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, 83184168 + 83184169.

It is an arithmetic number, because the mean of its divisors is an integer number (83184169).

Almost surely, 2166368337 is an apocalyptic number.

It is an amenable number.

166368337 is a deficient number, since it is larger than the sum of its proper divisors (1).

166368337 is an equidigital number, since it uses as much as digits as its factorization.

166368337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 43.

The square root of 166368337 is about 12898.3850539515. The cubic root of 166368337 is about 549.9926577532.

The spelling of 166368337 in words is "one hundred sixty-six million, three hundred sixty-eight thousand, three hundred thirty-seven".