352305 has 12 divisors (see below), whose sum is σ = 610740. Its totient is φ = 187872.

The previous prime is 352301. The next prime is 352309. The reversal of 352305 is 503253.

It is an interprime number because it is at equal distance from previous prime (352301) and next prime (352309).

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 269361 = 288^2 + 519^2 .

It is not a de Polignac number, because 352305 - 2² = 352301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352301) 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 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 3959.

It is an arithmetic number, because the mean of its divisors is an integer number (50895).

2³⁵²³⁰⁵ is an apocalyptic number.

It is an amenable number.

352305 is a deficient number, since it is larger than the sum of its proper divisors (258435).

352305 is a wasteful number, since it uses less digits than its factorization.

352305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 352305 is about 593.5528620098. The cubic root of 352305 is about 70.6273539299.

Adding to 352305 its reverse (503253), we get a palindrome (855558).

The spelling of 352305 in words is "three hundred fifty-two thousand, three hundred five".