42193645 has 16 divisors (see below), whose sum is σ = 54662832. Its totient is φ = 31080960.

The previous prime is 42193603. The next prime is 42193649. The reversal of 42193645 is 54639124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26081449 + 16112196 = 5107^2 + 4014^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42193645 is a prime.

It is a super-3 number, since 3×42193645³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42193645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42193649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49039 + ... + 49891.

It is an arithmetic number, because the mean of its divisors is an integer number (3416427).

Almost surely, 2^42193645 is an apocalyptic number.

It is an amenable number.

42193645 is a deficient number, since it is larger than the sum of its proper divisors (12469187).

42193645 is a wasteful number, since it uses less digits than its factorization.

42193645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632.

The product of its digits is 25920, while the sum is 34.

The square root of 42193645 is about 6495.6635534794. The cubic root of 42193645 is about 348.1360639602.

The spelling of 42193645 in words is "forty-two million, one hundred ninety-three thousand, six hundred forty-five".