112952 has 16 divisors (see below), whose sum is σ = 242160. Its totient is φ = 48384.

The previous prime is 112951. The next prime is 112967. The reversal of 112952 is 259211.

It is a d-powerful number, because it can be written as 1 + 1 + 9 + 2¹¹ + 5⁷ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112951) 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, 953 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (15135).

2¹¹²⁹⁵² is an apocalyptic number.

It is an amenable number.

112952 is an abundant number, since it is smaller than the sum of its proper divisors (129208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112952 is a wasteful number, since it uses less digits than its factorization.

112952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2026 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 112952 is about 336.0833230019. The cubic root of 112952 is about 48.3390348671.

The spelling of 112952 in words is "one hundred twelve thousand, nine hundred fifty-two".