393354 has 36 divisors (see below), whose sum is σ = 940758. Its totient is φ = 118080.

The previous prime is 393331. The next prime is 393361. The reversal of 393354 is 453393.

It can be written as a sum of positive squares in 3 ways, for example, as 65025 + 328329 = 255^2 + 573^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9574 + ... + 9614.

2³⁹³³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470379).

393354 is an abundant number, since it is smaller than the sum of its proper divisors (547404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393354 is a wasteful number, since it uses less digits than its factorization.

393354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

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

The square root of 393354 is about 627.1794001719. The cubic root of 393354 is about 73.2702809727.

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

The spelling of 393354 in words is "three hundred ninety-three thousand, three hundred fifty-four".