57009 has 8 divisors (see below), whose sum is σ = 78592. Its totient is φ = 36720.

The previous prime is 56999. The next prime is 57037. The reversal of 57009 is 90075.

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

It is not a de Polignac number, because 57009 - 2⁴ = 56993 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (57059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (9824).

2⁵⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

57009 is a deficient number, since it is larger than the sum of its proper divisors (21583).

57009 is a wasteful number, since it uses less digits than its factorization.

57009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 57009 is about 238.7655754082. The cubic root of 57009 is about 38.4870367331.

The spelling of 57009 in words is "fifty-seven thousand, nine".