352813 has 2 divisors, whose sum is σ = 352814. Its totient is φ = 352812.

The previous prime is 352771. The next prime is 352817. The reversal of 352813 is 318253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 59049 = 542^2 + 243^2 .

It is a cyclic number.

It is not a de Polignac number, because 352813 - 2⁹ = 352301 is a prime.

352813 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (352817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 176406 + 176407.

It is an arithmetic number, because the mean of its divisors is an integer number (176407).

2³⁵²⁸¹³ is an apocalyptic number.

It is an amenable number.

352813 is a deficient number, since it is larger than the sum of its proper divisors (1).

352813 is an equidigital number, since it uses as much as digits as its factorization.

352813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 352813 is about 593.9806394151. The cubic root of 352813 is about 70.6612842505.

The spelling of 352813 in words is "three hundred fifty-two thousand, eight hundred thirteen".