142857 has 32 divisors (see below), whose sum is σ = 255360. Its totient is φ = 77760.

The previous prime is 142841. The next prime is 142867. The reversal of 142857 is 758241.

Adding to 142857 its sum of digits (27), we get a square (142884 = 378^{2}).

It can be divided in two parts, 1428 and 57, that added together give a triangular number (1485 = T_{54}).

It is not a de Polignac number, because 142857 - 2^{4} = 142841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2240) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number *n* which added to its sum of digits gives 142857.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 142857.

It is not an unprimeable number, because it can be changed into a prime (142837) by changing a digit.

It is a Kaprekar number, because its square (20408122449) can be partitioned into two parts whose sum is 142857.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2^{142857} is an apocalyptic number.

It is an amenable number.

142857 is a deficient number, since it is larger than the sum of its proper divisors (112503).

142857 is a wasteful number, since it uses less digits than its factorization.

142857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 142857 is about 377.9642840269. The cubic root of 142857 is about 52.2757784322.

The spelling of 142857 in words is "one hundred forty-two thousand, eight hundred fifty-seven".

Divisors: 1 3 9 11 13 27 33 37 39 99 111 117 143 297 333 351 407 429 481 999 1221 1287 1443 3663 3861 4329 5291 10989 12987 15873 47619 142857

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