42034013 has 12 divisors (see below), whose sum is σ = 51774012. Its totient is φ = 33909120.

The previous prime is 42034007. The next prime is 42034037. The reversal of 42034013 is 31043024.

It can be written as a sum of positive squares in 2 ways, for example, as 33431524 + 8602489 = 5782^2 + 2933^2 .

It is not a de Polignac number, because 42034013 - 2¹⁰ = 42032989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42033982 and 42034000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24398 + ... + 26063.

It is an arithmetic number, because the mean of its divisors is an integer number (4314501).

Almost surely, 2^42034013 is an apocalyptic number.

It is an amenable number.

42034013 is a deficient number, since it is larger than the sum of its proper divisors (9739999).

42034013 is a wasteful number, since it uses less digits than its factorization.

42034013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50492 (or 50485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42034013 is about 6483.3643272610. The cubic root of 42034013 is about 347.6964725784.

Adding to 42034013 its reverse (31043024), we get a palindrome (73077037).

The spelling of 42034013 in words is "forty-two million, thirty-four thousand, thirteen".