393147 has 8 divisors (see below), whose sum is σ = 582480. Its totient is φ = 262080.

The previous prime is 393143. The next prime is 393157. The reversal of 393147 is 741393.

It is not a de Polignac number, because 393147 - 2² = 393143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14561 = 393147 / (3 + 9 + 3 + 1 + 4 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 393147.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393147.

It is not an unprimeable number, because it can be changed into a prime (393143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7254 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (72810).

2³⁹³¹⁴⁷ is an apocalyptic number.

393147 is a deficient number, since it is larger than the sum of its proper divisors (189333).

393147 is a wasteful number, since it uses less digits than its factorization.

393147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14570 (or 14564 counting only the distinct ones).

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

The square root of 393147 is about 627.0143539027. The cubic root of 393147 is about 73.2574260469.

The spelling of 393147 in words is "three hundred ninety-three thousand, one hundred forty-seven".