180957 has 12 divisors (see below), whose sum is σ = 280896. Its totient is φ = 103320.

The previous prime is 180949. The next prime is 180959. The reversal of 180957 is 759081.

It is not a de Polignac number, because 180957 - 2³ = 180949 is a prime.

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 180957.

It is not an unprimeable number, because it can be changed into a prime (180959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

2¹⁸⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

180957 is a deficient number, since it is larger than the sum of its proper divisors (99939).

180957 is a wasteful number, since it uses less digits than its factorization.

180957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 180957 is about 425.3904089187. The cubic root of 180957 is about 56.5620484178.

The spelling of 180957 in words is "one hundred eighty thousand, nine hundred fifty-seven".