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36373 is a prime number
BaseRepresentation
bin1000111000010101
31211220011
420320111
52130443
6440221
7211021
oct107025
954804
1036373
1125367
1219071
131372c
14d381
15ab9d
hex8e15

36373 has 2 divisors, whose sum is σ = 36374. Its totient is φ = 36372.

The previous prime is 36353. The next prime is 36383. The reversal of 36373 is 37363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 3249 = 182^2 + 57^2 .

36373 is a truncatable prime.

It is an emirp because it is prime and its reverse (37363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36373 - 25 = 36341 is a prime.

36373 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18186 + 18187.

It is an arithmetic number, because the mean of its divisors is an integer number (18187).

236373 is an apocalyptic number.

It is an amenable number.

36373 is a deficient number, since it is larger than the sum of its proper divisors (1).

36373 is an equidigital number, since it uses as much as digits as its factorization.

36373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 22.

The square root of 36373 is about 190.7170679305. The cubic root of 36373 is about 33.1329196680.

Subtracting 36373 from its reverse (37363), we obtain a triangular number (990 = T44).

The spelling of 36373 in words is "thirty-six thousand, three hundred seventy-three".