42627 has 8 divisors (see below), whose sum is σ = 61264. Its totient is φ = 26208.

The previous prime is 42611. The next prime is 42641. The reversal of 42627 is 72624.

It is a happy number.

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

It is a Wieferich number.

It is not a de Polignac number, because 42627 - 2^{4} = 42611 is a prime.

It is a super-2 number, since 2×42627^{2} = 3634122258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42667) 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, 508 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (7658).

2^{42627} is an apocalyptic number.

42627 is a deficient number, since it is larger than the sum of its proper divisors (18637).

42627 is a wasteful number, since it uses less digits than its factorization.

42627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its digits is 672, while the sum is 21.

The square root of 42627 is about 206.4630717586. The cubic root of 42627 is about 34.9323864741.

The spelling of 42627 in words is "forty-two thousand, six hundred twenty-seven".

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