42688925 has 18 divisors (see below), whose sum is σ = 54154458. Its totient is φ = 33381280.

The previous prime is 42688907. The next prime is 42688927. The reversal of 42688925 is 52988624.

42688925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8836 + 42680089 = 94^2 + 6533^2 .

It is not a de Polignac number, because 42688925 - 2²⁰ = 41640349 is a prime.

It is a super-3 number, since 3×42688925³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54839 + ... + 55611.

It is an arithmetic number, because the mean of its divisors is an integer number (3008581).

Almost surely, 2^42688925 is an apocalyptic number.

It is an amenable number.

42688925 is a deficient number, since it is larger than the sum of its proper divisors (11465533).

42688925 is an equidigital number, since it uses as much as digits as its factorization.

42688925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 825 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 42688925 is about 6533.6762239952. The cubic root of 42688925 is about 349.4929392223.

The spelling of 42688925 in words is "forty-two million, six hundred eighty-eight thousand, nine hundred twenty-five".