147933 has 8 divisors (see below), whose sum is σ = 219200. Its totient is φ = 98604.

The previous prime is 147919. The next prime is 147937. The reversal of 147933 is 339741.

147933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-147933 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: 5479 = 147933 / (1 + 4 + 7 + 9 + 3 + 3).

It is a Duffinian number.

147933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 147897 and 147906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147937) 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, 2713 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (27400).

2¹⁴⁷⁹³³ is an apocalyptic number.

It is an amenable number.

147933 is a deficient number, since it is larger than the sum of its proper divisors (71267).

147933 is an equidigital number, since it uses as much as digits as its factorization.

147933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

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

The square root of 147933 is about 384.6205922724. The cubic root of 147933 is about 52.8877415096.

The spelling of 147933 in words is "one hundred forty-seven thousand, nine hundred thirty-three".