305133 has 16 divisors (see below), whose sum is σ = 446976. Its totient is φ = 184320.

The previous prime is 305131. The next prime is 305143. The reversal of 305133 is 331503.

It is not a de Polignac number, because 305133 - 2¹ = 305131 is a prime.

It is a super-2 number, since 2×305133² = 186212295378, which contains 22 as substring.

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 305133.

It is not an unprimeable number, because it can be changed into a prime (305131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (27936).

2³⁰⁵¹³³ is an apocalyptic number.

It is an amenable number.

305133 is a deficient number, since it is larger than the sum of its proper divisors (141843).

305133 is a wasteful number, since it uses less digits than its factorization.

305133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 305133 is about 552.3884502775. The cubic root of 305133 is about 67.3229378673.

Adding to 305133 its reverse (331503), we get a palindrome (636636).

The spelling of 305133 in words is "three hundred five thousand, one hundred thirty-three".