395253 has 8 divisors (see below), whose sum is σ = 585600. Its totient is φ = 263484.

The previous prime is 395251. The next prime is 395261. The reversal of 395253 is 352593.

It is not a de Polignac number, because 395253 - 2¹ = 395251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14639 = 395253 / (3 + 9 + 5 + 2 + 5 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395251) 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 7 ways as a sum of consecutive naturals, for example, 7293 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (73200).

2³⁹⁵²⁵³ is an apocalyptic number.

It is an amenable number.

395253 is a deficient number, since it is larger than the sum of its proper divisors (190347).

395253 is a wasteful number, since it uses less digits than its factorization.

395253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14642 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 395253 is about 628.6914982724. The cubic root of 395253 is about 73.3880010183.

It can be divided in two parts, 3952 and 53, that added together give a triangular number (4005 = T₈₉).

The spelling of 395253 in words is "three hundred ninety-five thousand, two hundred fifty-three".