395937 has 24 divisors (see below), whose sum is σ = 622440. Its totient is φ = 241920.

The previous prime is 395921. The next prime is 395953. The reversal of 395937 is 739593.

It is an interprime number because it is at equal distance from previous prime (395921) and next prime (395953).

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 349281 = 216^2 + 591^2 .

It is not a de Polignac number, because 395937 - 2⁴ = 395921 is a prime.

It is a super-2 number, since 2×395937² = 313532215938, which contains 22 as substring.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395937.

It is not an unprimeable number, because it can be changed into a prime (395137) 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 23 ways as a sum of consecutive naturals, for example, 9637 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2³⁹⁵⁹³⁷ is an apocalyptic number.

395937 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

395937 is a deficient number, since it is larger than the sum of its proper divisors (226503).

395937 is a wasteful number, since it uses less digits than its factorization.

395937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 395937 is about 629.2352501251. The cubic root of 395937 is about 73.4303101758.

The spelling of 395937 in words is "three hundred ninety-five thousand, nine hundred thirty-seven".