4142766 has 24 divisors (see below), whose sum is σ = 8591544. Its totient is φ = 1331680.

The previous prime is 4142753. The next prime is 4142767. The reversal of 4142766 is 6672414.

It is a super-3 number, since 3×4142766³ (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142767) 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, 4636 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (357981).

Almost surely, 2^4142766 is an apocalyptic number.

4142766 is an abundant number, since it is smaller than the sum of its proper divisors (4448778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4142766 is a wasteful number, since it uses less digits than its factorization.

4142766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4142766 is about 2035.3785888625. The cubic root of 4142766 is about 160.6066293898.

The spelling of 4142766 in words is "four million, one hundred forty-two thousand, seven hundred sixty-six".