Search a number
-
+
3927 = 371117
BaseRepresentation
bin111101010111
312101110
4331113
5111202
630103
714310
oct7527
95343
103927
112a50
122333
131a31
141607
15126c
hexf57

3927 has 16 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1920.

The previous prime is 3923. The next prime is 3929. The reversal of 3927 is 7293.

It can be divided in two parts, 392 and 7, that multiplied together give a cube (2744 = 143).

3927 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 3927 - 22 = 3923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3927.

It is not an unprimeable number, because it can be changed into a prime (3923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

23927 is an apocalyptic number.

3927 is a deficient number, since it is larger than the sum of its proper divisors (2985).

3927 is a wasteful number, since it uses less digits than its factorization.

3927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38.

The product of its digits is 378, while the sum is 21.

The square root of 3927 is about 62.6657801356. The cubic root of 3927 is about 15.7768501442.

The spelling of 3927 in words is "three thousand, nine hundred twenty-seven".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927