4135743 has 12 divisors (see below), whose sum is σ = 6325488. Its totient is φ = 2594880.

The previous prime is 4135721. The next prime is 4135763. The reversal of 4135743 is 3475314.

It is not a de Polignac number, because 4135743 - 2¹⁰ = 4134719 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135763) 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, 13363 + ... + 13668.

It is an arithmetic number, because the mean of its divisors is an integer number (527124).

Almost surely, 2^4135743 is an apocalyptic number.

4135743 is a deficient number, since it is larger than the sum of its proper divisors (2189745).

4135743 is a wasteful number, since it uses less digits than its factorization.

4135743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27054 (or 27051 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 4135743 is about 2033.6526252042. The cubic root of 4135743 is about 160.5158222385.

The spelling of 4135743 in words is "four million, one hundred thirty-five thousand, seven hundred forty-three".