46563 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 26240.

The previous prime is 46559. The next prime is 46567. The reversal of 46563 is 36564.

It is an interprime number because it is at equal distance from previous prime (46559) and next prime (46567).

It is a cyclic number.

It is not a de Polignac number, because 46563 - 2² = 46559 is a prime.

It is a super-2 number, since 2×46563² = 4336225938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁴⁶⁵⁶³ is an apocalyptic number.

46563 is a deficient number, since it is larger than the sum of its proper divisors (26013).

46563 is a wasteful number, since it uses less digits than its factorization.

46563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 2160, while the sum is 24.

The square root of 46563 is about 215.7846148362. The cubic root of 46563 is about 35.9760643361.

Subtracting from 46563 its reverse (36564), we obtain a palindrome (9999).

It can be divided in two parts, 465 and 63, that added together give a triangular number (528 = T₃₂).

The spelling of 46563 in words is "forty-six thousand, five hundred sixty-three".