395901 has 32 divisors (see below), whose sum is σ = 675840. Its totient is φ = 226800.

The previous prime is 395897. The next prime is 395909. The reversal of 395901 is 109593.

It is not a de Polignac number, because 395901 - 2² = 395897 is a prime.

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

It is a Curzon number.

395901 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395901.

It is not an unprimeable number, because it can be changed into a prime (395909) 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, 9186 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (21120).

2³⁹⁵⁹⁰¹ is an apocalyptic number.

395901 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

395901 is a deficient number, since it is larger than the sum of its proper divisors (279939).

395901 is a wasteful number, since it uses less digits than its factorization.

395901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 395901 is about 629.2066433216. The cubic root of 395901 is about 73.4280845934.

It can be divided in two parts, 395 and 901, that added together give a 4-th power (1296 = 6⁴).

The spelling of 395901 in words is "three hundred ninety-five thousand, nine hundred one".