166563 has 16 divisors (see below), whose sum is σ = 256000. Its totient is φ = 106920.

The previous prime is 166561. The next prime is 166567. The reversal of 166563 is 365661.

166563 is a `hidden beast` number, since 1 + 6 + 656 + 3 = 666.

166563 is nontrivially palindromic in base 15.

166563 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 166563 - 2¹ = 166561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166561) 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, 738 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (16000).

2¹⁶⁶⁵⁶³ is an apocalyptic number.

166563 is a deficient number, since it is larger than the sum of its proper divisors (89437).

166563 is a wasteful number, since it uses less digits than its factorization.

166563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 166563 is about 408.1213054963. The cubic root of 166563 is about 55.0207084554.

It can be divided in two parts, 1665 and 63, that added together give a cube (1728 = 12³).

The spelling of 166563 in words is "one hundred sixty-six thousand, five hundred sixty-three".