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4141 = 41101

4141 has 4 divisors (see below), whose sum is σ = 4284. Its totient is φ = 4000.

The previous prime is 4139. The next prime is 4153. The reversal of 4141 is 1414.

4141 = 452 + 462.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 2025 = 46^2 + 45^2 .

It is a 3-Lehmer number, since φ(4141) divides (4141-1)3.

It is a cyclic number.

It is not a de Polignac number, because 4141 - 21 = 4139 is a prime.

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

It is a deceptive number, since it divides R4140.

It is a Duffinian number.

4141 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (1071).

4141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4141 is the 41-st heptagonal number.

4141 is the 46-th centered square number.

It is an amenable number.

4141 is a deficient number, since it is larger than the sum of its proper divisors (143).

4141 is a wasteful number, since it uses less digits than its factorization.

4141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 16, while the sum is 10.

The square root of 4141 is about 64.3506021728. The cubic root of 4141 is about 16.0583804734.

Adding to 4141 its reverse (1414), we get a palindrome (5555).

The spelling of 4141 in words is "four thousand, one hundred forty-one", and thus it is an iban number.

Divisors: 1 41 101 4141