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36769 = 83443
BaseRepresentation
bin1000111110100001
31212102211
420332201
52134034
6442121
7212125
oct107641
955384
1036769
1125697
1219341
1313975
14d585
15ad64
hex8fa1

36769 has 4 divisors (see below), whose sum is σ = 37296. Its totient is φ = 36244.

The previous prime is 36767. The next prime is 36779. The reversal of 36769 is 96763.

36769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 36769 - 21 = 36767 is a prime.

It is a super-2 number, since 2×367692 = 2703918722, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36769.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36769.

It is not an unprimeable number, because it can be changed into a prime (36761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

236769 is an apocalyptic number.

It is an amenable number.

36769 is a deficient number, since it is larger than the sum of its proper divisors (527).

36769 is an equidigital number, since it uses as much as digits as its factorization.

36769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526.

The product of its digits is 6804, while the sum is 31.

The square root of 36769 is about 191.7524445737. The cubic root of 36769 is about 33.2527274601.

The spelling of 36769 in words is "thirty-six thousand, seven hundred sixty-nine".

Divisors: 1 83 443 36769