112966 has 8 divisors (see below), whose sum is σ = 193680. Its totient is φ = 48408.

The previous prime is 112951. The next prime is 112967. The reversal of 112966 is 669211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×112966² = 25522634312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112967) 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, 4021 + ... + 4048.

It is an arithmetic number, because the mean of its divisors is an integer number (24210).

2¹¹²⁹⁶⁶ is an apocalyptic number.

112966 is a deficient number, since it is larger than the sum of its proper divisors (80714).

112966 is an equidigital number, since it uses as much as digits as its factorization.

112966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078.

The product of its digits is 648, while the sum is 25.

The square root of 112966 is about 336.1041505248. The cubic root of 112966 is about 48.3410319353.

It can be divided in two parts, 11296 and 6, that multiplied together give a palindrome (67776).

The spelling of 112966 in words is "one hundred twelve thousand, nine hundred sixty-six".