4149 has 6 divisors (see below), whose sum is σ = 6006. Its totient is φ = 2760.

The previous prime is 4139. The next prime is 4153. The reversal of 4149 is 9414.

4149 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 3249 + 900 = 57^2 + 30^2 .

It is not a de Polignac number, because 4149 - 2^{4} = 4133 is a prime.

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

It is a plaindrome in base 12 and base 15.

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 4149.

It is not an unprimeable number, because it can be changed into a prime (4129) 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 5 ways as a sum of consecutive naturals, for example, 222 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1001).

2^{4149} is an apocalyptic number.

It is an amenable number.

4149 is a deficient number, since it is larger than the sum of its proper divisors (1857).

4149 is a wasteful number, since it uses less digits than its factorization.

4149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 464 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4149 is about 64.4127316608. The cubic root of 4149 is about 16.0687148857.

Subtracting from 4149 its product of digits (144), we obtain a triangular number (4005 = T_{89}).

It can be divided in two parts, 4 and 149, that added together give a triangular number (153 = T_{17}).

The spelling of 4149 in words is "four thousand, one hundred forty-nine".

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