112945 has 12 divisors (see below), whose sum is σ = 158004. Its totient is φ = 77280.

The previous prime is 112939. The next prime is 112951. The reversal of 112945 is 549211.

It is an interprime number because it is at equal distance from previous prime (112939) and next prime (112951).

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 74529 = 196^2 + 273^2 .

It is not a de Polignac number, because 112945 - 2⁵ = 112913 is a prime.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a nontrivial repunit in base 48.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2¹¹²⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

112945 is a deficient number, since it is larger than the sum of its proper divisors (45059).

112945 is an equidigital number, since it uses as much as digits as its factorization.

112945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

The square root of 112945 is about 336.0729087564. The cubic root of 112945 is about 48.3380362711.

It can be divided in two parts, 1129 and 45, that multiplied together give a palindrome (50805).

The spelling of 112945 in words is "one hundred twelve thousand, nine hundred forty-five".