4138 has 4 divisors (see below), whose sum is σ = 6210. Its totient is φ = 2068.

The previous prime is 4133. The next prime is 4139. The reversal of 4138 is 8314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8314 = 2 ⋅4157.

It can be written as a sum of positive squares in only one way, i.e., 3969 + 169 = 63^2 + 13^2 .

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 as a sum of consecutive naturals, namely, 1033 + ... + 1036.

2⁴¹³⁸ is an apocalyptic number.

4138 is a deficient number, since it is larger than the sum of its proper divisors (2072).

4138 is a wasteful number, since it uses less digits than its factorization.

4138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071.

The product of its digits is 96, while the sum is 16.

The square root of 4138 is about 64.3272881443. The cubic root of 4138 is about 16.0545016374.

The spelling of 4138 in words is "four thousand, one hundred thirty-eight".