514112 has 28 divisors (see below), whose sum is σ = 1059180. Its totient is φ = 247296.

The previous prime is 514103. The next prime is 514117. The reversal of 514112 is 211415.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 341056 = 416^2 + 584^2 .

It is a super-2 number, since 2×514112² = 528622297088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (514117) 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, 1718 + ... + 1994.

2⁵¹⁴¹¹² 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 514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529590).

514112 is an abundant number, since it is smaller than the sum of its proper divisors (545068).

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

514112 is a wasteful number, since it uses less digits than its factorization.

514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

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

The square root of 514112 is about 717.0160388722. The cubic root of 514112 is about 80.1098490957.

Adding to 514112 its reverse (211415), we get a palindrome (725527).

It can be divided in two parts, 514 and 112, that added together give a palindrome (626).

The spelling of 514112 in words is "five hundred fourteen thousand, one hundred twelve".