180057 has 8 divisors (see below), whose sum is σ = 245376. Its totient is φ = 117392.

The previous prime is 180053. The next prime is 180071. The reversal of 180057 is 750081.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 180057 - 2² = 180053 is a prime.

180057 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180053) 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, 498 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (30672).

2¹⁸⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

180057 is a deficient number, since it is larger than the sum of its proper divisors (65319).

180057 is a wasteful number, since it uses less digits than its factorization.

180057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327.

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

The square root of 180057 is about 424.3312385390. The cubic root of 180057 is about 56.4681209987.

The spelling of 180057 in words is "one hundred eighty thousand, fifty-seven".