42633625 has 32 divisors (see below), whose sum is σ = 58032000. Its totient is φ = 31147200.

The previous prime is 42633607. The next prime is 42633629. The reversal of 42633625 is 52633624.

It is a happy number.

It is not a de Polignac number, because 42633625 - 2⁵ = 42633593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42633629) 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 31 ways as a sum of consecutive naturals, for example, 68566 + ... + 69184.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2^42633625 is an apocalyptic number.

It is an amenable number.

42633625 is a deficient number, since it is larger than the sum of its proper divisors (15398375).

42633625 is a wasteful number, since it uses less digits than its factorization.

42633625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 42633625 is about 6529.4429318281. The cubic root of 42633625 is about 349.3419608671.

Subtracting 42633625 from its reverse (52633624), we obtain a palindrome (9999999).

The spelling of 42633625 in words is "forty-two million, six hundred thirty-three thousand, six hundred twenty-five".