4137 has 8 divisors (see below), whose sum is σ = 6336. Its totient is φ = 2352.

The previous prime is 4133. The next prime is 4139. The reversal of 4137 is 7314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4137 - 2² = 4133 is a prime.

It is a super-2 number, since 2×4137² = 34229538, which contains 22 as substring.

4137 is an undulating number in base 14.

It is a plaindrome in base 12 and base 15.

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 7 ways as a sum of consecutive naturals, for example, 78 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (792).

It is an amenable number.

4137 is a deficient number, since it is larger than the sum of its proper divisors (2199).

4137 is a wasteful number, since it uses less digits than its factorization.

4137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 84, while the sum is 15.

The square root of 4137 is about 64.3195149235. The cubic root of 4137 is about 16.0532082755.

It can be divided in two parts, 41 and 37, that added together give a triangular number (78 = T₁₂).

The spelling of 4137 in words is "four thousand, one hundred thirty-seven".