306397 has 18 divisors (see below), whose sum is σ = 396378. Its totient is φ = 235872.

The previous prime is 306389. The next prime is 306407. The reversal of 306397 is 793603.

306397 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 290521 = 126^2 + 539^2 .

It is not a de Polignac number, because 306397 - 2³ = 306389 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8263 + ... + 8299.

It is an arithmetic number, because the mean of its divisors is an integer number (22021).

2³⁰⁶³⁹⁷ is an apocalyptic number.

306397 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

306397 is a deficient number, since it is larger than the sum of its proper divisors (89981).

306397 is a wasteful number, since it uses less digits than its factorization.

306397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 306397 is about 553.5313902571. The cubic root of 306397 is about 67.4157705673.

It can be divided in two parts, 3063 and 97, that added together give a triangular number (3160 = T₇₉).

The spelling of 306397 in words is "three hundred six thousand, three hundred ninety-seven".