111501 has 12 divisors (see below), whose sum is σ = 173628. Its totient is φ = 68544.

The previous prime is 111497. The next prime is 111509. The reversal of 111501 is 105111.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 81225 = 174^2 + 285^2 .

It is not a de Polignac number, because 111501 - 2² = 111497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

111501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111509) 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, 360 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (14469).

2¹¹¹⁵⁰¹ is an apocalyptic number.

It is an amenable number.

111501 is a deficient number, since it is larger than the sum of its proper divisors (62127).

111501 is a wasteful number, since it uses less digits than its factorization.

111501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 111501 is about 333.9176545198. The cubic root of 111501 is about 48.1311517407.

Adding to 111501 its reverse (105111), we get a palindrome (216612).

It can be divided in two parts, 111 and 501, that multiplied together give a triangular number (55611 = T₃₃₃).

The spelling of 111501 in words is "one hundred eleven thousand, five hundred one".