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36493 is a prime number
BaseRepresentation
bin1000111010001101
31212001121
420322031
52131433
6440541
7211252
oct107215
955047
1036493
1125466
1219151
13137c2
14d429
15ac2d
hex8e8d

36493 has 2 divisors, whose sum is σ = 36494. Its totient is φ = 36492.

The previous prime is 36479. The next prime is 36497. The reversal of 36493 is 39463.

36493 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., 21609 + 14884 = 147^2 + 122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18246 + 18247.

It is an arithmetic number, because the mean of its divisors is an integer number (18247).

236493 is an apocalyptic number.

It is an amenable number.

36493 is a deficient number, since it is larger than the sum of its proper divisors (1).

36493 is an equidigital number, since it uses as much as digits as its factorization.

36493 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

The square root of 36493 is about 191.0314110297. The cubic root of 36493 is about 33.1693165003.

It can be divided in two parts, 36 and 493, that added together give a square (529 = 232).

The spelling of 36493 in words is "thirty-six thousand, four hundred ninety-three".