352864 has 12 divisors (see below), whose sum is σ = 694764. Its totient is φ = 176416.

The previous prime is 352853. The next prime is 352867. The reversal of 352864 is 468253.

352864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹¹ + 5 + 8⁵ + 2¹⁷ + 6⁵ + 4⁶ .

352864 is a modest number, since divided by 864 gives 352 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352867) 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 as a sum of consecutive naturals, namely, 5482 + ... + 5545.

It is an arithmetic number, because the mean of its divisors is an integer number (57897).

2³⁵²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

352864 is a deficient number, since it is larger than the sum of its proper divisors (341900).

352864 is a wasteful number, since it uses less digits than its factorization.

352864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11029 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 352864 is about 594.0235685560. The cubic root of 352864 is about 70.6646888414.

Subtracting from 352864 its sum of digits (28), we obtain a square (352836 = 594²).

The spelling of 352864 in words is "three hundred fifty-two thousand, eight hundred sixty-four".