121563 has 12 divisors (see below), whose sum is σ = 189280. Its totient is φ = 74736.

The previous prime is 121559. The next prime is 121571. The reversal of 121563 is 365121.

It is not a de Polignac number, because 121563 - 2² = 121559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403 + ... + 636.

2¹²¹⁵⁶³ is an apocalyptic number.

121563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121563 is a deficient number, since it is larger than the sum of its proper divisors (67717).

121563 is a wasteful number, since it uses less digits than its factorization.

121563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1055 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 121563 is about 348.6588590585. The cubic root of 121563 is about 49.5374678064.

Adding to 121563 its reverse (365121), we get a palindrome (486684).

The spelling of 121563 in words is "one hundred twenty-one thousand, five hundred sixty-three".