111653 has 2 divisors, whose sum is σ = 111654. Its totient is φ = 111652.

The previous prime is 111641. The next prime is 111659. The reversal of 111653 is 356111.

111653 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 20449 = 302^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 111653 - 2⁴ = 111637 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111653.

It is not a weakly prime, because it can be changed into another prime (111659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55826 + 55827.

It is an arithmetic number, because the mean of its divisors is an integer number (55827).

2¹¹¹⁶⁵³ is an apocalyptic number.

It is an amenable number.

111653 is a deficient number, since it is larger than the sum of its proper divisors (1).

111653 is an equidigital number, since it uses as much as digits as its factorization.

111653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90, while the sum is 17.

The square root of 111653 is about 334.1451780290. The cubic root of 111653 is about 48.1530128696.

Adding to 111653 its reverse (356111), we get a palindrome (467764).

The spelling of 111653 in words is "one hundred eleven thousand, six hundred fifty-three".