305253 has 12 divisors (see below), whose sum is σ = 475020. Its totient is φ = 187776.

The previous prime is 305243. The next prime is 305267. The reversal of 305253 is 352503.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 213444 = 303^2 + 462^2 .

It is not a de Polignac number, because 305253 - 2⁴ = 305237 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305243) 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, 1188 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (39585).

2³⁰⁵²⁵³ is an apocalyptic number.

It is an amenable number.

305253 is a deficient number, since it is larger than the sum of its proper divisors (169767).

305253 is a wasteful number, since it uses less digits than its factorization.

305253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 305253 is about 552.4970588157. The cubic root of 305253 is about 67.3317620999.

Adding to 305253 its reverse (352503), we get a palindrome (657756).

The spelling of 305253 in words is "three hundred five thousand, two hundred fifty-three".