Search a number
4143 = 31381

4143 has 4 divisors (see below), whose sum is σ = 5528. Its totient is φ = 2760.

The previous prime is 4139. The next prime is 4153. The reversal of 4143 is 3414.

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

It is not a de Polignac number, because 4143 - 22 = 4139 is a prime.

It is a super-3 number, since 3×41433 = 213336936621, which contains 333 as substring.

It is a D-number.

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

It is a Duffinian number.

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 4143.

It is not an unprimeable number, because it can be changed into a prime (4133) 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, 688 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (1382).

24143 is an apocalyptic number.

4143 is a deficient number, since it is larger than the sum of its proper divisors (1385).

4143 is a wasteful number, since it uses less digits than its factorization.

4143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384.

The product of its digits is 48, while the sum is 12.

The square root of 4143 is about 64.3661401670. The cubic root of 4143 is about 16.0609653235.

Subtracting from 4143 its product of digits (48), we obtain a triangular number (4095 = T90).

Adding to 4143 its reverse (3414), we get a palindrome (7557).

Subtracting from 4143 its reverse (3414), we obtain a 6-th power (729 = 36).

The spelling of 4143 in words is "four thousand, one hundred forty-three", and thus it is an iban number.

Divisors: 1 3 1381 4143