395307 has 20 divisors (see below), whose sum is σ = 644200. Its totient is φ = 239580.

The previous prime is 395303. The next prime is 395309. The reversal of 395307 is 703593.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 395307 - 2² = 395303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

395307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (395303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35932 + ... + 35942.

It is an arithmetic number, because the mean of its divisors is an integer number (32210).

2³⁹⁵³⁰⁷ is an apocalyptic number.

395307 is a deficient number, since it is larger than the sum of its proper divisors (248893).

395307 is an frugal number, since it uses more digits than its factorization.

395307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

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

The square root of 395307 is about 628.7344431475. The cubic root of 395307 is about 73.3913429888.

Multiplying 395307 by its sum of digits (27), we get a square (10673289 = 3267²).

395307 divided by its sum of digits (27) gives a palindrome (14641).

The spelling of 395307 in words is "three hundred ninety-five thousand, three hundred seven".