114512 has 20 divisors (see below), whose sum is σ = 235476. Its totient is φ = 53760.

The previous prime is 114493. The next prime is 114547. The reversal of 114512 is 215411.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 80656 = 184^2 + 284^2 .

It is a super-2 number, since 2×114512² = 26225996288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

114512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 482.

2¹¹⁴⁵¹² 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 114512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117738).

114512 is an abundant number, since it is smaller than the sum of its proper divisors (120964).

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

114512 is a wasteful number, since it uses less digits than its factorization.

114512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 40, while the sum is 14.

The square root of 114512 is about 338.3962174729. The cubic root of 114512 is about 48.5605577913.

Adding to 114512 its reverse (215411), we get a palindrome (329923).

It can be divided in two parts, 114 and 512, that added together give a palindrome (626).

The spelling of 114512 in words is "one hundred fourteen thousand, five hundred twelve".