180353 has 6 divisors (see below), whose sum is σ = 192834. Its totient is φ = 168096.

The previous prime is 180347. The next prime is 180361. The reversal of 180353 is 353081.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 10609 = 412^2 + 103^2 .

It is not a de Polignac number, because 180353 - 2⁴ = 180337 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (180053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1700 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (32139).

2¹⁸⁰³⁵³ is an apocalyptic number.

It is an amenable number.

180353 is a deficient number, since it is larger than the sum of its proper divisors (12481).

180353 is an equidigital number, since it uses as much as digits as its factorization.

180353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 180353 is about 424.6798794386. The cubic root of 180353 is about 56.4990471555.

It can be divided in two parts, 1803 and 53, that multiplied together give a palindrome (95559).

The spelling of 180353 in words is "one hundred eighty thousand, three hundred fifty-three".