352032201 has 24 divisors (see below), whose sum is σ = 519611976. Its totient is φ = 229582080.

The previous prime is 352032179. The next prime is 352032211. The reversal of 352032201 is 102230253.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 343175625 = 2976^2 + 18525^2 .

It is not a de Polignac number, because 352032201 - 2⁹ = 352031689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352032211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199941 + ... + 201693.

It is an arithmetic number, because the mean of its divisors is an integer number (21650499).

Almost surely, 2^352032201 is an apocalyptic number.

It is an amenable number.

352032201 is a deficient number, since it is larger than the sum of its proper divisors (167579775).

352032201 is a wasteful number, since it uses less digits than its factorization.

352032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 352032201 is about 18762.5211792019. The cubic root of 352032201 is about 706.0911968532.

Adding to 352032201 its reverse (102230253), we get a palindrome (454262454).

It can be divided in two parts, 3520 and 32201, that added together give a square (35721 = 189²).

The spelling of 352032201 in words is "three hundred fifty-two million, thirty-two thousand, two hundred one".