393764 has 30 divisors (see below), whose sum is σ = 823494. Its totient is φ = 164640.

The previous prime is 393761. The next prime is 393779. The reversal of 393764 is 467393.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 153664 = 490^2 + 392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393761) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 9584 + ... + 9624.

2³⁹³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411747).

393764 is an abundant number, since it is smaller than the sum of its proper divisors (429730).

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

393764 is an equidigital number, since it uses as much as digits as its factorization.

393764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 393764 is about 627.5061752684. The cubic root of 393764 is about 73.2957291134.

The spelling of 393764 in words is "three hundred ninety-three thousand, seven hundred sixty-four".