42007833 has 48 divisors (see below), whose sum is σ = 74745216. Its totient is φ = 22187520.

The previous prime is 42007831. The next prime is 42007843. The reversal of 42007833 is 33870024.

It is not a de Polignac number, because 42007833 - 2¹ = 42007831 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42007797 and 42007806.

It is not an unprimeable number, because it can be changed into a prime (42007831) 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, 65010 + ... + 65652.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^42007833 is an apocalyptic number.

It is an amenable number.

42007833 is a deficient number, since it is larger than the sum of its proper divisors (32737383).

42007833 is a wasteful number, since it uses less digits than its factorization.

42007833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42007833 is about 6481.3449993038. The cubic root of 42007833 is about 347.6242724444.

Adding to 42007833 its reverse (33870024), we get a palindrome (75877857).

The spelling of 42007833 in words is "forty-two million, seven thousand, eight hundred thirty-three".