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36668237 is a prime number
BaseRepresentation
bin1000101111100…
…0001101001101
32112222221100212
42023320031031
533341340422
63345532205
7623450324
oct213701515
975887325
1036668237
1119775431
1210344065
13779b1a8
144c270bb
1533449e2
hex22f834d

36668237 has 2 divisors, whose sum is σ = 36668238. Its totient is φ = 36668236.

The previous prime is 36668189. The next prime is 36668239. The reversal of 36668237 is 73286663.

36668237 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., 36409156 + 259081 = 6034^2 + 509^2 .

It is a cyclic number.

It is not a de Polignac number, because 36668237 - 26 = 36668173 is a prime.

Together with 36668239, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36668194 and 36668203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36668239) 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, 18334118 + 18334119.

It is an arithmetic number, because the mean of its divisors is an integer number (18334119).

Almost surely, 236668237 is an apocalyptic number.

It is an amenable number.

36668237 is a deficient number, since it is larger than the sum of its proper divisors (1).

36668237 is an equidigital number, since it uses as much as digits as its factorization.

36668237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 41.

The square root of 36668237 is about 6055.4303728141. The cubic root of 36668237 is about 332.2232404072.

The spelling of 36668237 in words is "thirty-six million, six hundred sixty-eight thousand, two hundred thirty-seven".