2042125 has 24 divisors (see below), whose sum is σ = 2788344. Its totient is φ = 1488000.

The previous prime is 2042123. The next prime is 2042129. The reversal of 2042125 is 5212402.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 2033476 = 93^2 + 1426^2 .

It is not a de Polignac number, because 2042125 - 2¹ = 2042123 is a prime.

It is a Duffinian number.

2042125 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2042099 and 2042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042123) 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 23 ways as a sum of consecutive naturals, for example, 65860 + ... + 65890.

It is an arithmetic number, because the mean of its divisors is an integer number (116181).

2^2042125 is an apocalyptic number.

2042125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042125 is a deficient number, since it is larger than the sum of its proper divisors (746219).

2042125 is an equidigital number, since it uses as much as digits as its factorization.

2042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2042125 is about 1429.0293908804. The cubic root of 2042125 is about 126.8705358100.

Adding to 2042125 its reverse (5212402), we get a palindrome (7254527).

The spelling of 2042125 in words is "two million, forty-two thousand, one hundred twenty-five".