34563 has 8 divisors (see below), whose sum is σ = 47376. Its totient is φ = 22400.

The previous prime is 34549. The next prime is 34583. The reversal of 34563 is 36543.

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

It is a cyclic number.

It is not a de Polignac number, because 34563 - 2⁶ = 34499 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34513) 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, 18 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (5922).

2³⁴⁵⁶³ is an apocalyptic number.

34563 is a deficient number, since it is larger than the sum of its proper divisors (12813).

34563 is a wasteful number, since it uses less digits than its factorization.

34563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its digits is 1080, while the sum is 21.

The square root of 34563 is about 185.9112691582. The cubic root of 34563 is about 32.5739538780.

It can be divided in two parts, 3 and 4563, that multiplied together give a square (13689 = 117²).

The spelling of 34563 in words is "thirty-four thousand, five hundred sixty-three".