142767 has 12 divisors (see below), whose sum is σ = 213720. Its totient is φ = 91728.

The previous prime is 142759. The next prime is 142771. The reversal of 142767 is 767241.

It is not a de Polignac number, because 142767 - 2³ = 142759 is a prime.

142767 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 142767.

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 142767.

It is not an unprimeable number, because it can be changed into a prime (142757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (17810).

2¹⁴²⁷⁶⁷ is an apocalyptic number.

142767 is a deficient number, since it is larger than the sum of its proper divisors (70953).

142767 is a wasteful number, since it uses less digits than its factorization.

142767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 142767 is about 377.8452064007. The cubic root of 142767 is about 52.2647982016.

It can be divided in two parts, 142 and 767, that added together give a palindrome (909).

The spelling of 142767 in words is "one hundred forty-two thousand, seven hundred sixty-seven".