4046 has 12 divisors (see below), whose sum is σ = 7368. Its totient is φ = 1632.

The previous prime is 4027. The next prime is 4049. The reversal of 4046 is 6404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4046.

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 4046.

It is not an unprimeable number, because it can be changed into a prime (4049) by changing a digit.

4046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (614).

2⁴⁰⁴⁶ is an apocalyptic number.

4046 is a deficient number, since it is larger than the sum of its proper divisors (3322).

4046 is a wasteful number, since it uses less digits than its factorization.

4046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4046 is about 63.6081755752. The cubic root of 4046 is about 15.9346291125.

Multiplying 4046 by its sum of digits (14), we get a square (56644 = 238²).

4046 divided by its sum of digits (14) gives a square (289 = 17²).

The spelling of 4046 in words is "four thousand, forty-six", and thus it is an eban number.