42057 has 6 divisors (see below), whose sum is σ = 60762. Its totient is φ = 28032.

The previous prime is 42043. The next prime is 42061. The reversal of 42057 is 75024.

It is a happy number.

42057 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 441 = 204^2 + 21^2 .

It is not a de Polignac number, because 42057 - 2⁸ = 41801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42017) 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, 2328 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (10127).

2⁴²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

42057 is a deficient number, since it is larger than the sum of its proper divisors (18705).

42057 is a wasteful number, since it uses less digits than its factorization.

42057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42057 is about 205.0780339286. The cubic root of 42057 is about 34.7759842230.

It can be divided in two parts, 4 and 2057, that multiplied together give a palindrome (8228).

The spelling of 42057 in words is "forty-two thousand, fifty-seven".