66057 has 8 divisors (see below), whose sum is σ = 89376. Its totient is φ = 43392.

The previous prime is 66047. The next prime is 66067. The reversal of 66057 is 75066.

It is an interprime number because it is at equal distance from previous prime (66047) and next prime (66067).

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

It is not a de Polignac number, because 66057 - 2⁴ = 66041 is a prime.

It is an Ulam number.

66057 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66057.

It is not an unprimeable number, because it can be changed into a prime (66037) 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, 178 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁶⁶⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

66057 is a deficient number, since it is larger than the sum of its proper divisors (23319).

66057 is a wasteful number, since it uses less digits than its factorization.

66057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 66057 is about 257.0155637311. The cubic root of 66057 is about 40.4240307315.

Subtracting 66057 from its reverse (75066), we obtain a palindrome (9009).

It can be divided in two parts, 660 and 57, that added together give a palindrome (717).

The spelling of 66057 in words is "sixty-six thousand, fifty-seven".