42375645 has 48 divisors (see below), whose sum is σ = 83773872. Its totient is φ = 19630080.

The previous prime is 42375631. The next prime is 42375647. The reversal of 42375645 is 54657324.

42375645 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 5 + 645 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1390041 + 40985604 = 1179^2 + 6402^2 .

It is not a de Polignac number, because 42375645 - 2⁹ = 42375133 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42375647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (1745289).

Almost surely, 2^42375645 is an apocalyptic number.

42375645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42375645 is a deficient number, since it is larger than the sum of its proper divisors (41398227).

42375645 is a wasteful number, since it uses less digits than its factorization.

42375645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4299 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42375645 is about 6509.6578251088. The cubic root of 42375645 is about 348.6359013192.

It can be divided in two parts, 423756 and 45, that added together give a square (423801 = 651²).

The spelling of 42375645 in words is "forty-two million, three hundred seventy-five thousand, six hundred forty-five".