114632 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 46464.

The previous prime is 114617. The next prime is 114641. The reversal of 114632 is 236411.

It is a self number, because there is not a number n which added to its sum of digits gives 114632.

It is a congruent number.

It is an unprimeable number.

114632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹¹⁴⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

114632 is an abundant number, since it is smaller than the sum of its proper divisors (144568).

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

114632 is a wasteful number, since it uses less digits than its factorization.

114632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 114632 is about 338.5734779926. The cubic root of 114632 is about 48.5775144788.

The spelling of 114632 in words is "one hundred fourteen thousand, six hundred thirty-two".