42757 has 12 divisors (see below), whose sum is σ = 52704. Its totient is φ = 34320.

The previous prime is 42751. The next prime is 42767. The reversal of 42757 is 75724.

It is not a de Polignac number, because 42757 - 2¹¹ = 40709 is a prime.

It is a super-2 number, since 2×42757² = 3656322098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42751) 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 11 ways as a sum of consecutive naturals, for example, 1848 + ... + 1870.

It is an arithmetic number, because the mean of its divisors is an integer number (4392).

2⁴²⁷⁵⁷ is an apocalyptic number.

42757 is the 169-th pentagonal number.

It is an amenable number.

42757 is a deficient number, since it is larger than the sum of its proper divisors (9947).

42757 is a wasteful number, since it uses less digits than its factorization.

42757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 42757 is about 206.7776583676. Note that the first 3 decimals coincide. The cubic root of 42757 is about 34.9678616548.

It can be divided in two parts, 427 and 57, that added together give a palindrome (484).

The spelling of 42757 in words is "forty-two thousand, seven hundred fifty-seven".