352947 has 14 divisors (see below), whose sum is σ = 549028. Its totient is φ = 201684.

The previous prime is 352939. The next prime is 352949. The reversal of 352947 is 749253.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=49.

It is not a de Polignac number, because 352947 - 2³ = 352939 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (7560) is a multiple of the sum of its prime divisors (10).

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352947.

It is not an unprimeable number, because it can be changed into a prime (352949) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 50418 + ... + 50424.

352947 is a Friedman number, since it can be written as 7^5*(9+4+2^3), using all its digits and the basic arithmetic operations.

2³⁵²⁹⁴⁷ is an apocalyptic number.

352947 is a deficient number, since it is larger than the sum of its proper divisors (196081).

352947 is an frugal number, since it uses more digits than its factorization.

352947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 352947 is about 594.0934269961. The cubic root of 352947 is about 70.6702289451.

The spelling of 352947 in words is "three hundred fifty-two thousand, nine hundred forty-seven".