354393 has 18 divisors (see below), whose sum is σ = 556686. Its totient is φ = 217152.

The previous prime is 354391. The next prime is 354401. The reversal of 354393 is 393453.

It can be written as a sum of positive squares in 3 ways, for example, as 8649 + 345744 = 93^2 + 588^2 .

It is not a de Polignac number, because 354393 - 2¹ = 354391 is a prime.

It is a d-powerful number, because it can be written as 3⁴ + 5 + 3¹¹ + 4 + 9 + 3¹¹ .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (354391) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1405 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (30927).

2³⁵⁴³⁹³ is an apocalyptic number.

It is an amenable number.

354393 is a deficient number, since it is larger than the sum of its proper divisors (202293).

354393 is a wasteful number, since it uses less digits than its factorization.

354393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

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

The square root of 354393 is about 595.3091633765. The cubic root of 354393 is about 70.7666078290.

Subtracting 354393 from its reverse (393453), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 354 and 393, that added together give a palindrome (747).

The spelling of 354393 in words is "three hundred fifty-four thousand, three hundred ninety-three".