78147 has 12 divisors (see below), whose sum is σ = 119080. Its totient is φ = 49248.

The previous prime is 78139. The next prime is 78157. The reversal of 78147 is 74187.

It is not a de Polignac number, because 78147 - 2³ = 78139 is a prime.

It is a super-2 number, since 2×78147² = 12213907218, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78147.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78147.

It is not an unprimeable number, because it can be changed into a prime (78137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 399.

2⁷⁸¹⁴⁷ is an apocalyptic number.

78147 is a deficient number, since it is larger than the sum of its proper divisors (40933).

78147 is a wasteful number, since it uses less digits than its factorization.

78147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 78147 is about 279.5478492137. The cubic root of 78147 is about 42.7534110339.

It can be divided in two parts, 781 and 47, that added together give a palindrome (828).

The spelling of 78147 in words is "seventy-eight thousand, one hundred forty-seven".