393471 has 32 divisors (see below), whose sum is σ = 672000. Its totient is φ = 225504.

The previous prime is 393451. The next prime is 393473. The reversal of 393471 is 174393.

It is not a de Polignac number, because 393471 - 2¹³ = 385279 is a prime.

It is a super-3 number, since 3×393471³ = 182750865276078333, which contains 333 as substring.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6640 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2³⁹³⁴⁷¹ is an apocalyptic number.

393471 is a deficient number, since it is larger than the sum of its proper divisors (278529).

393471 is a wasteful number, since it uses less digits than its factorization.

393471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

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

The square root of 393471 is about 627.2726679842. The cubic root of 393471 is about 73.2775448055.

It can be divided in two parts, 3934 and 71, that added together give a triangular number (4005 = T₈₉).

The spelling of 393471 in words is "three hundred ninety-three thousand, four hundred seventy-one".