305349 has 16 divisors (see below), whose sum is σ = 468480. Its totient is φ = 174960.

The previous prime is 305339. The next prime is 305351. The reversal of 305349 is 943503.

305349 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 305349 - 2⁸ = 305093 is a prime.

It is a Curzon number.

305349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305329) 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, 384 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (29280).

2³⁰⁵³⁴⁹ is an apocalyptic number.

It is an amenable number.

305349 is a deficient number, since it is larger than the sum of its proper divisors (163131).

305349 is a wasteful number, since it uses less digits than its factorization.

305349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 305349 is about 552.5839302767. The cubic root of 305349 is about 67.3388198211.

The spelling of 305349 in words is "three hundred five thousand, three hundred forty-nine".