2142129 has 16 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 1286160.

The previous prime is 2142121. The next prime is 2142149. The reversal of 2142129 is 9212412.

2142129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2142129 - 2³ = 2142121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142121) 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 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

2^2142129 is an apocalyptic number.

It is an amenable number.

2142129 is a deficient number, since it is larger than the sum of its proper divisors (1002831).

2142129 is a wasteful number, since it uses less digits than its factorization.

2142129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620.

The product of its digits is 288, while the sum is 21.

The square root of 2142129 is about 1463.6013801579. The cubic root of 2142129 is about 128.9085945836.

The spelling of 2142129 in words is "two million, one hundred forty-two thousand, one hundred twenty-nine".