75147 has 8 divisors (see below), whose sum is σ = 103056. Its totient is φ = 48672.

The previous prime is 75133. The next prime is 75149. The reversal of 75147 is 74157.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 75147 - 2⁶ = 75083 is a prime.

75147 is a lucky number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75147.

It is not an unprimeable number, because it can be changed into a prime (75149) 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, 228 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (12882).

2⁷⁵¹⁴⁷ is an apocalyptic number.

75147 is a deficient number, since it is larger than the sum of its proper divisors (27909).

75147 is a wasteful number, since it uses less digits than its factorization.

75147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717.

The product of its digits is 980, while the sum is 24.

The square root of 75147 is about 274.1295314263. The cubic root of 75147 is about 42.1991674177.

Subtracting from 75147 its reverse (74157), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 75 and 147, that multiplied together give a square (11025 = 105²).

The spelling of 75147 in words is "seventy-five thousand, one hundred forty-seven".