395955 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 180576.

The previous prime is 395953. The next prime is 395959. The reversal of 395955 is 559593.

It is not a de Polignac number, because 395955 - 2¹ = 395953 is a prime.

It is a nude number because it is divisible by every one of its digits.

395955 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (395953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁹⁵⁹⁵⁵ is an apocalyptic number.

395955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

395955 is the 315-th decagonal number.

395955 is an abundant number, since it is smaller than the sum of its proper divisors (410445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395955 is a wasteful number, since it uses less digits than its factorization.

395955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 30375, while the sum is 36.

The square root of 395955 is about 629.2495530392. The cubic root of 395955 is about 73.4314229165.

The spelling of 395955 in words is "three hundred ninety-five thousand, nine hundred fifty-five".