111257 has 4 divisors (see below), whose sum is σ = 112896. Its totient is φ = 109620.

The previous prime is 111253. The next prime is 111263. The reversal of 111257 is 752111.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 111257 - 2² = 111253 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (111253) 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, 713 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2¹¹¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

111257 is a deficient number, since it is larger than the sum of its proper divisors (1639).

111257 is an equidigital number, since it uses as much as digits as its factorization.

111257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638.

The product of its digits is 70, while the sum is 17.

The square root of 111257 is about 333.5520948817. The cubic root of 111257 is about 48.0960172935.

Adding to 111257 its reverse (752111), we get a palindrome (863368).

The spelling of 111257 in words is "one hundred eleven thousand, two hundred fifty-seven".