395152 has 10 divisors (see below), whose sum is σ = 765638. Its totient is φ = 197568.

The previous prime is 395147. The next prime is 395159. The reversal of 395152 is 251593.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 5776 = 624^2 + 76^2 .

It is a super-2 number, since 2×395152² = 312290206208, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (395159) by changing a digit.

395152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 12333 + ... + 12364.

2³⁹⁵¹⁵² is an apocalyptic number.

It is an amenable number.

395152 is a deficient number, since it is larger than the sum of its proper divisors (370486).

395152 is a wasteful number, since it uses less digits than its factorization.

395152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24705 (or 24699 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 395152 is about 628.6111675750. The cubic root of 395152 is about 73.3817494785.

The spelling of 395152 in words is "three hundred ninety-five thousand, one hundred fifty-two".