352801 has 4 divisors (see below), whose sum is σ = 373572. Its totient is φ = 332032.

The previous prime is 352771. The next prime is 352813. The reversal of 352801 is 108253.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 108253 = 103 ⋅1051.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 159201 = 440^2 + 399^2 .

It is a cyclic number.

It is not a de Polignac number, because 352801 - 2¹⁷ = 221729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352831) 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 3 ways as a sum of consecutive naturals, for example, 10360 + ... + 10393.

It is an arithmetic number, because the mean of its divisors is an integer number (93393).

2³⁵²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

352801 is a deficient number, since it is larger than the sum of its proper divisors (20771).

352801 is a wasteful number, since it uses less digits than its factorization.

352801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 352801 is about 593.9705379899. The cubic root of 352801 is about 70.6604831226.

The spelling of 352801 in words is "three hundred fifty-two thousand, eight hundred one".