352809 has 16 divisors (see below), whose sum is σ = 532800. Its totient is φ = 230688.

The previous prime is 352771. The next prime is 352813. The reversal of 352809 is 908253.

It is not a de Polignac number, because 352809 - 2¹⁵ = 320041 is a prime.

It is a super-3 number, since 3×352809³ = 131746844008233387, which contains 333 as substring.

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

352809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352809.

It is not an unprimeable number, because it can be changed into a prime (352819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (33300).

2³⁵²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

352809 is a deficient number, since it is larger than the sum of its proper divisors (179991).

352809 is a wasteful number, since it uses less digits than its factorization.

352809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 352809 is about 593.9772722925. The cubic root of 352809 is about 70.6610172099.

Adding to 352809 its sum of digits (27), we get a square (352836 = 594²).

The spelling of 352809 in words is "three hundred fifty-two thousand, eight hundred nine".