42621625 has 16 divisors (see below), whose sum is σ = 53398800. Its totient is φ = 33964800.

The previous prime is 42621613. The next prime is 42621637. The reversal of 42621625 is 52612624.

42621625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42621613) and next prime (42621637).

It can be written as a sum of positive squares in 8 ways, for example, as 2019241 + 40602384 = 1421^2 + 6372^2 .

It is not a de Polignac number, because 42621625 - 2⁹ = 42621113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42621593 and 42621602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43137 + ... + 44113.

It is an arithmetic number, because the mean of its divisors is an integer number (3337425).

Almost surely, 2^42621625 is an apocalyptic number.

42621625 is the 3490-th nonagonal number.

It is an amenable number.

42621625 is a deficient number, since it is larger than the sum of its proper divisors (10777175).

42621625 is an equidigital number, since it uses as much as digits as its factorization.

42621625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 42621625 is about 6528.5239526251. The cubic root of 42621625 is about 349.3091816003.

Subtracting 42621625 from its reverse (52612624), we obtain a palindrome (9990999).

The spelling of 42621625 in words is "forty-two million, six hundred twenty-one thousand, six hundred twenty-five".