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36293 is a prime number
BaseRepresentation
bin1000110111000101
31211210012
420313011
52130133
6440005
7210545
oct106705
954705
1036293
11252a4
1219005
131369a
14d325
15ab48
hex8dc5

36293 has 2 divisors, whose sum is σ = 36294. Its totient is φ = 36292.

The previous prime is 36277. The next prime is 36299. The reversal of 36293 is 39263.

It is a happy number.

36293 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., 20164 + 16129 = 142^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 36293 - 24 = 36277 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36293.

It is not a weakly prime, because it can be changed into another prime (36299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18146 + 18147.

It is an arithmetic number, because the mean of its divisors is an integer number (18147).

236293 is an apocalyptic number.

It is an amenable number.

36293 is a deficient number, since it is larger than the sum of its proper divisors (1).

36293 is an equidigital number, since it uses as much as digits as its factorization.

36293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 23.

The square root of 36293 is about 190.5072177110. The cubic root of 36293 is about 33.1086106178.

The spelling of 36293 in words is "thirty-six thousand, two hundred ninety-three".