4138767 has 12 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 2727648.

The previous prime is 4138753. The next prime is 4138777. The reversal of 4138767 is 7678314.

It is not a de Polignac number, because 4138767 - 2⁶ = 4138703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138747) 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, 1783 + ... + 3384.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 2^4138767 is an apocalyptic number.

4138767 is a deficient number, since it is larger than the sum of its proper divisors (1907793).

4138767 is a wasteful number, since it uses less digits than its factorization.

4138767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5259 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4138767 is about 2034.3959791545. The cubic root of 4138767 is about 160.5549350483.

It can be divided in two parts, 413 and 8767, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 4138767 in words is "four million, one hundred thirty-eight thousand, seven hundred sixty-seven".