353943 has 8 divisors (see below), whose sum is σ = 524400. Its totient is φ = 235944.

The previous prime is 353939. The next prime is 353963. The reversal of 353943 is 349353.

It is not a de Polignac number, because 353943 - 2² = 353939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 13109 = 353943 / (3 + 5 + 3 + 9 + 4 + 3).

It is a d-powerful number, because it can be written as 3⁹ + 5⁷ + 9⁵ + 3⁹ + 4⁴ + 3¹¹ .

353943 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353963) 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, 6528 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (65550).

2³⁵³⁹⁴³ is an apocalyptic number.

353943 is a deficient number, since it is larger than the sum of its proper divisors (170457).

353943 is a wasteful number, since it uses less digits than its factorization.

353943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13112 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 353943 is about 594.9310884464. The cubic root of 353943 is about 70.7366425440.

It can be divided in two parts, 353 and 943, that added together give a 4-th power (1296 = 6⁴).

The spelling of 353943 in words is "three hundred fifty-three thousand, nine hundred forty-three".