111553 has 4 divisors (see below), whose sum is σ = 120148. Its totient is φ = 102960.

The previous prime is 111539. The next prime is 111577. The reversal of 111553 is 355111.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 106929 = 68^2 + 327^2 .

It is not a de Polignac number, because 111553 - 2⁵ = 111521 is a prime.

It is a Duffinian number.

111553 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (111533) 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, 4278 + ... + 4303.

It is an arithmetic number, because the mean of its divisors is an integer number (30037).

2¹¹¹⁵⁵³ is an apocalyptic number.

111553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111553 is a deficient number, since it is larger than the sum of its proper divisors (8595).

111553 is an equidigital number, since it uses as much as digits as its factorization.

111553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594.

The product of its digits is 75, while the sum is 16.

The square root of 111553 is about 333.9955089518. The cubic root of 111553 is about 48.1386327825.

Adding to 111553 its product of digits (75), we get a triangular number (111628 = T₄₇₂).

Adding to 111553 its reverse (355111), we get a palindrome (466664).

It can be divided in two parts, 1115 and 53, that multiplied together give a palindrome (59095).

The spelling of 111553 in words is "one hundred eleven thousand, five hundred fifty-three".