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36084023 is a prime number
BaseRepresentation
bin1000100110100…
…1100100110111
32111220020222022
42021221210313
533214142043
63325223355
7615465143
oct211514467
974806868
1036084023
1119406508
1210101b5b
1376252c1
144b14223
15327b868
hex2269937

36084023 has 2 divisors, whose sum is σ = 36084024. Its totient is φ = 36084022.

The previous prime is 36083963. The next prime is 36084067. The reversal of 36084023 is 32048063.

36084023 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 is a cyclic number.

It is not a de Polignac number, because 36084023 - 28 = 36083767 is a prime.

It is a super-3 number, since 3×360840233 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36083983 and 36084001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36084823) 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, 18042011 + 18042012.

It is an arithmetic number, because the mean of its divisors is an integer number (18042012).

Almost surely, 236084023 is an apocalyptic number.

36084023 is a deficient number, since it is larger than the sum of its proper divisors (1).

36084023 is an equidigital number, since it uses as much as digits as its factorization.

36084023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36084023 is about 6006.9978358578. The cubic root of 36084023 is about 330.4494121752.

Adding to 36084023 its sum of digits (26), we get a square (36084049 = 60072).

The spelling of 36084023 in words is "thirty-six million, eighty-four thousand, twenty-three".