42791625 has 64 divisors (see below), whose sum is σ = 81868800. Its totient is φ = 22032000.

The previous prime is 42791621. The next prime is 42791633. The reversal of 42791625 is 52619724.

42791625 is a `hidden beast` number, since 4 + 27 + 9 + 1 + 625 = 666.

42791625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42791625 - 2² = 42791621 is a prime.

It is a super-2 number, since 2×42791625² = 3662246340281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42791625.

It is not an unprimeable number, because it can be changed into a prime (42791621) 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 63 ways as a sum of consecutive naturals, for example, 104421 + ... + 104829.

It is an arithmetic number, because the mean of its divisors is an integer number (1279200).

Almost surely, 2^42791625 is an apocalyptic number.

42791625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42791625 is a deficient number, since it is larger than the sum of its proper divisors (39077175).

42791625 is a wasteful number, since it uses less digits than its factorization.

42791625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42791625 is about 6541.5307841514. The cubic root of 42791625 is about 349.7729820345.

The spelling of 42791625 in words is "forty-two million, seven hundred ninety-one thousand, six hundred twenty-five".