4142 has 8 divisors (see below), whose sum is σ = 6600. Its totient is φ = 1944.

The previous prime is 4139. The next prime is 4153. The reversal of 4142 is 2414.

Adding to 4142 its reverse (2414), we get a palindrome (6556).

Subtracting from 4142 its reverse (2414), we obtain a cube (1728 = 12^{3}).

It can be divided in two parts, 414 and 2, that multiplied together give a palindrome (828).

It is a sphenic number, since it is the product of 3 distinct primes.

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 4142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (825).

4142 is a deficient number, since it is larger than the sum of its proper divisors (2458).

4142 is a wasteful number, since it uses less digits than its factorization.

4142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its digits is 32, while the sum is 11.

The square root of 4142 is about 64.3583716388. The cubic root of 4142 is about 16.0596730025.

The spelling of 4142 in words is "four thousand, one hundred forty-two", and thus it is an iban number.

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