352345257 has 48 divisors (see below), whose sum is σ = 582506496. Its totient is φ = 203148000.

The previous prime is 352345249. The next prime is 352345261. The reversal of 352345257 is 752543253.

It is not a de Polignac number, because 352345257 - 2³ = 352345249 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (352345237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616782 + ... + 617352.

It is an arithmetic number, because the mean of its divisors is an integer number (12135552).

Almost surely, 2^352345257 is an apocalyptic number.

It is an amenable number.

352345257 is a deficient number, since it is larger than the sum of its proper divisors (230161239).

352345257 is a wasteful number, since it uses less digits than its factorization.

352345257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 879 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 352345257 is about 18770.8619141477. The cubic root of 352345257 is about 706.3004396377.

The spelling of 352345257 in words is "three hundred fifty-two million, three hundred forty-five thousand, two hundred fifty-seven".