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36793 is a prime number
BaseRepresentation
bin1000111110111001
31212110201
420332321
52134133
6442201
7212161
oct107671
955421
1036793
1125709
1219361
1313993
14d5a1
15ad7d
hex8fb9

36793 has 2 divisors, whose sum is σ = 36794. Its totient is φ = 36792.

The previous prime is 36791. The next prime is 36809. The reversal of 36793 is 39763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 13689 = 152^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 36793 - 21 = 36791 is a prime.

Together with 36791, it forms a pair of twin primes.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (36791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18396 + 18397.

It is an arithmetic number, because the mean of its divisors is an integer number (18397).

236793 is an apocalyptic number.

It is an amenable number.

36793 is a deficient number, since it is larger than the sum of its proper divisors (1).

36793 is an equidigital number, since it uses as much as digits as its factorization.

36793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 28.

The square root of 36793 is about 191.8150150536. The cubic root of 36793 is about 33.2599608350.

The spelling of 36793 in words is "thirty-six thousand, seven hundred ninety-three".