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36681 = 312227
BaseRepresentation
bin1000111101001001
31212022120
420331021
52133211
6441453
7211641
oct107511
955276
1036681
1125617
1219289
1313908
14d521
15ad06
hex8f49

36681 has 4 divisors (see below), whose sum is σ = 48912. Its totient is φ = 24452.

The previous prime is 36677. The next prime is 36683. The reversal of 36681 is 18663.

36681 is digitally balanced in base 2 and base 4, because in such bases 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, and also an emirpimes, since its reverse is a distinct semiprime: 18663 = 36221.

It is a cyclic number.

It is not a de Polignac number, because 36681 - 22 = 36677 is a prime.

It is a super-2 number, since 2×366812 = 2690991522, which contains 22 as substring.

It is a D-number.

It is a Curzon number.

36681 is a lucky number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36681.

It is not an unprimeable number, because it can be changed into a prime (36683) 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, 6111 + ... + 6116.

It is an arithmetic number, because the mean of its divisors is an integer number (12228).

236681 is an apocalyptic number.

It is an amenable number.

36681 is a deficient number, since it is larger than the sum of its proper divisors (12231).

36681 is a wasteful number, since it uses less digits than its factorization.

36681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12230.

The product of its digits is 864, while the sum is 24.

The square root of 36681 is about 191.5228445904. The cubic root of 36681 is about 33.2261781242.

It can be divided in two parts, 366 and 81, that multiplied together give a triangular number (29646 = T243).

The spelling of 36681 in words is "thirty-six thousand, six hundred eighty-one".

Divisors: 1 3 12227 36681