4131 has 12 divisors (see below), whose sum is σ = 6552. Its totient is φ = 2592.

The previous prime is 4129. The next prime is 4133. The reversal of 4131 is 1314.

4131 = T₁₃ + T₁₄ + ... + T₂₉.

4131 = 6³ + 7³ + ... + 11³.

It is an interprime number because it is at equal distance from previous prime (4129) and next prime (4133).

It is not a de Polignac number, because 4131 - 2¹ = 4129 is a prime.

It is a super-2 number, since 2×4131² = 34130322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

4131 is a lucky number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4131.

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 11 ways as a sum of consecutive naturals, for example, 235 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

4131 is a deficient number, since it is larger than the sum of its proper divisors (2421).

4131 is an equidigital number, since it uses as much as digits as its factorization.

4131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 20 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 4131 is about 64.2728558569. The cubic root of 4131 is about 16.0454437237.

Adding to 4131 its reverse (1314), we get a palindrome (5445).

It can be divided in two parts, 413 and 1, that added together give a palindrome (414).

The spelling of 4131 in words is "four thousand, one hundred thirty-one".