305397 has 8 divisors (see below), whose sum is σ = 452480. Its totient is φ = 203580.

The previous prime is 305377. The next prime is 305401. The reversal of 305397 is 793503.

It is not a de Polignac number, because 305397 - 2¹⁰ = 304373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11311 = 305397 / (3 + 0 + 5 + 3 + 9 + 7).

It is a Duffinian number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 305397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5629 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (56560).

2³⁰⁵³⁹⁷ is an apocalyptic number.

It is an amenable number.

305397 is a deficient number, since it is larger than the sum of its proper divisors (147083).

305397 is a wasteful number, since it uses less digits than its factorization.

305397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 305397 is about 552.6273608862. The cubic root of 305397 is about 67.3423481270.

305397 divided by its sum of digits (27) gives a palindrome (11311).

The spelling of 305397 in words is "three hundred five thousand, three hundred ninety-seven".