73147 has 4 divisors (see below), whose sum is σ = 73720. Its totient is φ = 72576.

The previous prime is 73141. The next prime is 73181. The reversal of 73147 is 74137.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 73147 - 2⁷ = 73019 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73147.

It is not an unprimeable number, because it can be changed into a prime (73141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (18430).

2⁷³¹⁴⁷ is an apocalyptic number.

73147 is a deficient number, since it is larger than the sum of its proper divisors (573).

73147 is a wasteful number, since it uses less digits than its factorization.

73147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572.

The product of its digits is 588, while the sum is 22.

The square root of 73147 is about 270.4570206151. The cubic root of 73147 is about 41.8214262534.

Subtracting 73147 from its reverse (74137), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 73 and 147, that multiplied together give a triangular number (10731 = T₁₄₆).

The spelling of 73147 in words is "seventy-three thousand, one hundred forty-seven", and thus it is an iban number.