352805 has 8 divisors (see below), whose sum is σ = 433944. Its totient is φ = 275200.

The previous prime is 352771. The next prime is 352813. The reversal of 352805 is 508253.

It can be written as a sum of positive squares in 4 ways, for example, as 9409 + 343396 = 97^2 + 586^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 352805 - 2⁶ = 352741 is a prime.

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 352805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (54243).

2³⁵²⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

352805 is a deficient number, since it is larger than the sum of its proper divisors (81139).

352805 is a wasteful number, since it uses less digits than its factorization.

352805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 352805 is about 593.9739051507. The cubic root of 352805 is about 70.6607501672.

It can be divided in two parts, 35280 and 5, that multiplied together give a square (176400 = 420²).

The spelling of 352805 in words is "three hundred fifty-two thousand, eight hundred five".