42207 has 8 divisors (see below), whose sum is σ = 61440. Its totient is φ = 25560.

The previous prime is 42197. The next prime is 42209. The reversal of 42207 is 70224.

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

It is not a de Polignac number, because 42207 - 2¹⁰ = 41183 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42207.

It is not an unprimeable number, because it can be changed into a prime (42209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁴²²⁰⁷ is an apocalyptic number.

42207 is a deficient number, since it is larger than the sum of its proper divisors (19233).

42207 is a wasteful number, since it uses less digits than its factorization.

42207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 42207 is about 205.4434228687. The cubic root of 42207 is about 34.8172790397.

It can be divided in two parts, 4 and 2207, that added together give a triangular number (2211 = T₆₆).

The spelling of 42207 in words is "forty-two thousand, two hundred seven", and thus it is an iban number.