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36263 is a prime number
BaseRepresentation
bin1000110110100111
31211202002
420312213
52130023
6435515
7210503
oct106647
954662
1036263
1125277
1218b9b
1313676
14d303
15ab28
hex8da7

36263 has 2 divisors, whose sum is σ = 36264. Its totient is φ = 36262.

The previous prime is 36251. The next prime is 36269.

It is a happy number.

36263 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 36263 - 28 = 36007 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18131 + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (18132).

236263 is an apocalyptic number.

36263 is a deficient number, since it is larger than the sum of its proper divisors (1).

36263 is an equidigital number, since it uses as much as digits as its factorization.

36263 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 20.

The square root of 36263 is about 190.4284642589. The cubic root of 36263 is about 33.0994855145.

It can be divided in two parts, 3626 and 3, that multiplied together give a triangular number (10878 = T147).

The spelling of 36263 in words is "thirty-six thousand, two hundred sixty-three".