42002145 has 40 divisors (see below), whose sum is σ = 75942504. Its totient is φ = 22208256.

The previous prime is 42002143. The next prime is 42002153. The reversal of 42002145 is 54120024.

It can be written as a sum of positive squares in 4 ways, for example, as 7144929 + 34857216 = 2673^2 + 5904^2 .

It is not a de Polignac number, because 42002145 - 2¹ = 42002143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002143) 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 39 ways as a sum of consecutive naturals, for example, 55107 + ... + 55863.

Almost surely, 2^42002145 is an apocalyptic number.

42002145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42002145 is a deficient number, since it is larger than the sum of its proper divisors (33940359).

42002145 is a wasteful number, since it uses less digits than its factorization.

42002145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42002145 is about 6480.9061866378. The cubic root of 42002145 is about 347.6085819095.

Adding to 42002145 its reverse (54120024), we get a palindrome (96122169).

The spelling of 42002145 in words is "forty-two million, two thousand, one hundred forty-five".