111961 has 4 divisors (see below), whose sum is σ = 113152. Its totient is φ = 110772.

The previous prime is 111959. The next prime is 111973. The reversal of 111961 is 169111.

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 111961 - 2¹ = 111959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141961) 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, 441 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (28288).

2¹¹¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

111961 is a deficient number, since it is larger than the sum of its proper divisors (1191).

111961 is a wasteful number, since it uses less digits than its factorization.

111961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190.

The product of its digits is 54, while the sum is 19.

The square root of 111961 is about 334.6057381457. The cubic root of 111961 is about 48.1972496608.

The spelling of 111961 in words is "one hundred eleven thousand, nine hundred sixty-one".