394164 has 18 divisors (see below), whose sum is σ = 996450. Its totient is φ = 131376.

The previous prime is 394157. The next prime is 394169. The reversal of 394164 is 461493.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 152100 = 492^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5439 + ... + 5510.

2³⁹⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

394164 is an abundant number, since it is smaller than the sum of its proper divisors (602286).

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

394164 is a wasteful number, since it uses less digits than its factorization.

394164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10954 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 394164 is about 627.8248163302. The cubic root of 394164 is about 73.3205395496.

It can be divided in two parts, 3941 and 64, that added together give a triangular number (4005 = T₈₉).

The spelling of 394164 in words is "three hundred ninety-four thousand, one hundred sixty-four".