Search a number
8141 = 71163

8141 has 4 divisors (see below), whose sum is σ = 9312. Its totient is φ = 6972.

The previous prime is 8123. The next prime is 8147. The reversal of 8141 is 1418.

Adding to 8141 its reverse (1418), we get a palindrome (9559).

It can be divided in two parts, 81 and 41, that multiplied together give a triangular number (3321 = T81).

It is a happy number.

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: 1418 = 2709.

It is a de Polignac number, because none of the positive numbers 2k-8141 is a prime.

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 not an unprimeable number, because it can be changed into a prime (8147) 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, 575 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (2328).

28141 is an apocalyptic number.

It is an amenable number.

8141 is a deficient number, since it is larger than the sum of its proper divisors (1171).

8141 is a wasteful number, since it uses less digits than its factorization.

8141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170.

The product of its digits is 32, while the sum is 14.

The square root of 8141 is about 90.2274902677. The cubic root of 8141 is about 20.1168163684.

The spelling of 8141 in words is "eight thousand, one hundred forty-one".

Divisors: 1 7 1163 8141