111953 has 2 divisors, whose sum is σ = 111954. Its totient is φ = 111952.

The previous prime is 111949. The next prime is 111959. The reversal of 111953 is 359111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 29584 = 287^2 + 172^2 .

It is an emirp because it is prime and its reverse (359111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111953 - 2² = 111949 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55976 + 55977.

It is an arithmetic number, because the mean of its divisors is an integer number (55977).

2¹¹¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

111953 is a deficient number, since it is larger than the sum of its proper divisors (1).

111953 is an equidigital number, since it uses as much as digits as its factorization.

111953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 20.

The square root of 111953 is about 334.5937835645. The cubic root of 111953 is about 48.1961016802.

The spelling of 111953 in words is "one hundred eleven thousand, nine hundred fifty-three".