393704 has 16 divisors (see below), whose sum is σ = 764100. Its totient is φ = 189952.

The previous prime is 393697. The next prime is 393709. The reversal of 393704 is 407393.

393704 = T₁₆₉ + T₁₇₀ + ... + T₁₉₂.

393704 = 66² + 67² + ... + 113².

It can be written as a sum of positive squares in 2 ways, for example, as 357604 + 36100 = 598^2 + 190^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393704.

It is not an unprimeable number, because it can be changed into a prime (393709) by changing a digit.

393704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617 + ... + 1080.

2³⁹³⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

393704 is a deficient number, since it is larger than the sum of its proper divisors (370396).

393704 is a wasteful number, since it uses less digits than its factorization.

393704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 393704 is about 627.4583651526. The cubic root of 393704 is about 73.2920060990.

Subtracting 393704 from its reverse (407393), we obtain a square (13689 = 117²).

It can be divided in two parts, 393 and 704, that multiplied together give a palindrome (276672).

The spelling of 393704 in words is "three hundred ninety-three thousand, seven hundred four".