393714 has 32 divisors (see below), whose sum is σ = 915840. Its totient is φ = 125136.

The previous prime is 393713. The next prime is 393721. The reversal of 393714 is 417393.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (28620).

2³⁹³⁷¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457920).

393714 is an abundant number, since it is smaller than the sum of its proper divisors (522126).

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

393714 is a wasteful number, since it uses less digits than its factorization.

393714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 393714 is about 627.4663337582. The cubic root of 393714 is about 73.2926266277.

The spelling of 393714 in words is "three hundred ninety-three thousand, seven hundred fourteen".