147393 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 95472.

The previous prime is 147391. The next prime is 147397. The reversal of 147393 is 393741.

It is not a de Polignac number, because 147393 - 2¹ = 147391 is a prime.

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

It is a Curzon number.

147393 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147393.

It is not an unprimeable number, because it can be changed into a prime (147391) 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, 1380 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

147393 is a Friedman number, since it can be written as 9*(4^(3+3+1)-7), using all its digits and the basic arithmetic operations.

2¹⁴⁷³⁹³ is an apocalyptic number.

It is an amenable number.

147393 is a deficient number, since it is larger than the sum of its proper divisors (77247).

147393 is a wasteful number, since it uses less digits than its factorization.

147393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

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

The square root of 147393 is about 383.9179599862. The cubic root of 147393 is about 52.8233109878.

The spelling of 147393 in words is "one hundred forty-seven thousand, three hundred ninety-three".