36523 has 2 divisors, whose sum is σ = 36524. Its totient is φ = 36522.

The previous prime is 36497. The next prime is 36527. The reversal of 36523 is 32563.

It is a strong prime.

It is an emirp because it is prime and its reverse (32563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36523 - 2^{9} = 36011 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is equal to p_{3871} and since 36523 and 3871 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 36523.

It is not a weakly prime, because it can be changed into another prime (36527) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18261 + 18262.

It is an arithmetic number, because the mean of its divisors is an integer number (18262).

2^{36523} is an apocalyptic number.

36523 is a deficient number, since it is larger than the sum of its proper divisors (1).

36523 is an equidigital number, since it uses as much as digits as its factorization.

36523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 19.

The square root of 36523 is about 191.1099160169. The cubic root of 36523 is about 33.1784032378.

It can be divided in two parts, 3652 and 3, that added together give a triangular number (3655 = T_{85}).

The spelling of 36523 in words is "thirty-six thousand, five hundred twenty-three".

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