Search a number
-
+
3983 = 7569
BaseRepresentation
bin111110001111
312110112
4332033
5111413
630235
714420
oct7617
95415
103983
112aa1
12237b
131a75
141647
1512a8
hexf8f

3983 has 4 divisors (see below), whose sum is σ = 4560. Its totient is φ = 3408.

The previous prime is 3967. The next prime is 3989. The reversal of 3983 is 3893.

3983 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3893 = 17229.

It is a cyclic number.

It is not a de Polignac number, because 3983 - 24 = 3967 is a prime.

It is a Duffinian number.

3983 is an undulating number in base 16.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

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 3983.

It is not an unprimeable number, because it can be changed into a prime (3989) 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, 278 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

23983 is an apocalyptic number.

3983 is a deficient number, since it is larger than the sum of its proper divisors (577).

3983 is an equidigital number, since it uses as much as digits as its factorization.

3983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 648, while the sum is 23.

The square root of 3983 is about 63.1110133020. Note that the first 3 decimals coincide. The cubic root of 3983 is about 15.8514904044.

The spelling of 3983 in words is "three thousand, nine hundred eighty-three".

Divisors: 1 7 569 3983