42007 has 8 divisors (see below), whose sum is σ = 50976. Its totient is φ = 33792.

The previous prime is 41999. The next prime is 42013. The reversal of 42007 is 70024.

42007 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42007 - 2³ = 41999 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (6372).

2⁴²⁰⁰⁷ is an apocalyptic number.

42007 is a deficient number, since it is larger than the sum of its proper divisors (8969).

42007 is a wasteful number, since it uses less digits than its factorization.

42007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 42007 is about 204.9560928589. The cubic root of 42007 is about 34.7621974675.

The spelling of 42007 in words is "forty-two thousand, seven", and thus it is an iban number.