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36827 = 75261
BaseRepresentation
bin1000111111011011
31212111222
420333123
52134302
6442255
7212240
oct107733
955458
1036827
112573a
121938b
13139bb
14d5c7
15ada2
hex8fdb

36827 has 4 divisors (see below), whose sum is σ = 42096. Its totient is φ = 31560.

The previous prime is 36821. The next prime is 36833. The reversal of 36827 is 72863.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (36821) and next prime (36833).

It is a cyclic number.

It is not a de Polignac number, because 36827 - 28 = 36571 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 36796 and 36805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36827.

It is not an unprimeable number, because it can be changed into a prime (36821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2624 + ... + 2637.

It is an arithmetic number, because the mean of its divisors is an integer number (10524).

236827 is an apocalyptic number.

36827 is a deficient number, since it is larger than the sum of its proper divisors (5269).

36827 is an equidigital number, since it uses as much as digits as its factorization.

36827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268.

The product of its digits is 2016, while the sum is 26.

The square root of 36827 is about 191.9036216438. The cubic root of 36827 is about 33.2702027335.

The spelling of 36827 in words is "thirty-six thousand, eight hundred twenty-seven".

Divisors: 1 7 5261 36827