78563 has 4 divisors (see below), whose sum is σ = 79128. Its totient is φ = 78000.

The previous prime is 78553. The next prime is 78569. The reversal of 78563 is 36587.

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 78563 - 2⁸ = 78307 is a prime.

It is a d-powerful number, because it can be written as 7³ + 8 + 5⁷ + 6 + 3⁴ .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (19782).

2⁷⁸⁵⁶³ is an apocalyptic number.

78563 is a deficient number, since it is larger than the sum of its proper divisors (565).

78563 is a wasteful number, since it uses less digits than its factorization.

78563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its digits is 5040, while the sum is 29.

The square root of 78563 is about 280.2909202953. The cubic root of 78563 is about 42.8291399079.

It can be divided in two parts, 785 and 63, that multiplied together give a triangular number (49455 = T₃₁₄).

The spelling of 78563 in words is "seventy-eight thousand, five hundred sixty-three".