63057 has 4 divisors (see below), whose sum is σ = 84080. Its totient is φ = 42036.

The previous prime is 63031. The next prime is 63059. The reversal of 63057 is 75036.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 63057 - 2⁷ = 62929 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (63059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10507 + ... + 10512.

It is an arithmetic number, because the mean of its divisors is an integer number (21020).

2⁶³⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

63057 is a deficient number, since it is larger than the sum of its proper divisors (21023).

63057 is a wasteful number, since it uses less digits than its factorization.

63057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 63057 is about 251.1115290065. Note that the first 3 decimals coincide. The cubic root of 63057 is about 39.8025687929.

Subtracting from 63057 its sum of digits (21), we obtain a palindrome (63036).

The spelling of 63057 in words is "sixty-three thousand, fifty-seven".