352773 has 12 divisors (see below), whose sum is σ = 536640. Its totient is φ = 222696.

The previous prime is 352771. The next prime is 352813. The reversal of 352773 is 377253.

It is not a de Polignac number, because 352773 - 2¹ = 352771 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁹ + 5⁵ + 7⁴ + 2¹⁵ + 7⁶ + 3¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352771) 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, 861 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (44720).

2³⁵²⁷⁷³ is an apocalyptic number.

It is an amenable number.

352773 is a deficient number, since it is larger than the sum of its proper divisors (183867).

352773 is a wasteful number, since it uses less digits than its factorization.

352773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2085 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 352773 is about 593.9469673296. The cubic root of 352773 is about 70.6586137535.

It can be divided in two parts, 3527 and 73, that added together give a square (3600 = 60²).

The spelling of 352773 in words is "three hundred fifty-two thousand, seven hundred seventy-three".