353947 has 8 divisors (see below), whose sum is σ = 403200. Its totient is φ = 307560.

The previous prime is 353939. The next prime is 353963. The reversal of 353947 is 749353.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 353947 - 2³ = 353939 is a prime.

It is a d-powerful number, because it can be written as 3¹⁰ + 5 + 9² + 3¹¹ + 4² + 7⁶ .

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (353917) 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 7 ways as a sum of consecutive naturals, for example, 447 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2³⁵³⁹⁴⁷ is an apocalyptic number.

353947 is a deficient number, since it is larger than the sum of its proper divisors (49253).

353947 is a wasteful number, since it uses less digits than its factorization.

353947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433.

The product of its digits is 11340, while the sum is 31.

The square root of 353947 is about 594.9344501708. The cubic root of 353947 is about 70.7369090139.

The spelling of 353947 in words is "three hundred fifty-three thousand, nine hundred forty-seven".