147384 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 46464.

The previous prime is 147377. The next prime is 147391. The reversal of 147384 is 483741.

147384 = T₇ + T₈ + ... + T₉₅.

It is an interprime number because it is at equal distance from previous prime (147377) and next prime (147391).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147384.

It is an unprimeable number.

147384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1612 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

147384 is a Friedman number, since it can be written as (4^7-8)*(13-4), using all its digits and the basic arithmetic operations.

2¹⁴⁷³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

147384 is an abundant number, since it is smaller than the sum of its proper divisors (273816).

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

147384 is a wasteful number, since it uses less digits than its factorization.

147384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 147384 is about 383.9062385531. The cubic root of 147384 is about 52.8222358135.

The spelling of 147384 in words is "one hundred forty-seven thousand, three hundred eighty-four".