112629 has 8 divisors (see below), whose sum is σ = 163872. Its totient is φ = 68240.

The previous prime is 112621. The next prime is 112643. The reversal of 112629 is 926211.

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

It is a cyclic number.

It is not a de Polignac number, because 112629 - 2³ = 112621 is a prime.

It is an Ulam number.

112629 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (20484).

2¹¹²⁶²⁹ is an apocalyptic number.

It is an amenable number.

112629 is a deficient number, since it is larger than the sum of its proper divisors (51243).

112629 is a wasteful number, since it uses less digits than its factorization.

112629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427.

The product of its digits is 216, while the sum is 21.

The square root of 112629 is about 335.6024433761. The cubic root of 112629 is about 48.2929137571.

It can be divided in two parts, 112 and 629, that added together give a triangular number (741 = T₃₈).

The spelling of 112629 in words is "one hundred twelve thousand, six hundred twenty-nine".