2042129 has 2 divisors, whose sum is σ = 2042130. Its totient is φ = 2042128.

The previous prime is 2042123. The next prime is 2042149. The reversal of 2042129 is 9212402.

It is an a-pointer prime, because the next prime (2042149) can be obtained adding 2042129 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1918225 + 123904 = 1385^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042129 - 2¹⁶ = 1976593 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2042129.

It is not a weakly prime, because it can be changed into another prime (2042123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021064 + 1021065.

It is an arithmetic number, because the mean of its divisors is an integer number (1021065).

2^2042129 is an apocalyptic number.

It is an amenable number.

2042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042129 is an equidigital number, since it uses as much as digits as its factorization.

2042129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2042129 is about 1429.0307904311. The cubic root of 2042129 is about 126.8706186456.

The spelling of 2042129 in words is "two million, forty-two thousand, one hundred twenty-nine".