42527 has 6 divisors (see below), whose sum is σ = 45432. Its totient is φ = 39732.

The previous prime is 42509. The next prime is 42533. The reversal of 42527 is 72524.

It is not a de Polignac number, because 42527 - 2⁶ = 42463 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42499 and 42508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42557) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 968 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (7572).

2⁴²⁵²⁷ is an apocalyptic number.

42527 is a deficient number, since it is larger than the sum of its proper divisors (2905).

42527 is an equidigital number, since it uses as much as digits as its factorization.

42527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 42527 is about 206.2207555024. The cubic root of 42527 is about 34.9050487629.

The spelling of 42527 in words is "forty-two thousand, five hundred twenty-seven".