57018 has 32 divisors (see below), whose sum is σ = 133056. Its totient is φ = 16128.

The previous prime is 56999. The next prime is 57037. The reversal of 57018 is 81075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56999) and next prime (57037).

It is a junction number, because it is equal to n+sod(n) for n = 56985 and 57003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2⁵⁷⁰¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

57018 is an abundant number, since it is smaller than the sum of its proper divisors (76038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57018 is a wasteful number, since it uses less digits than its factorization.

57018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 57018 is about 238.7844216024. The cubic root of 57018 is about 38.4890619402.

Multiplying 57018 by its sum of digits (21), we get a triangular number (1197378 = T₁₅₄₇).

The spelling of 57018 in words is "fifty-seven thousand, eighteen".