312516 has 18 divisors (see below), whose sum is σ = 790062. Its totient is φ = 104160.

The previous prime is 312509. The next prime is 312517. The reversal of 312516 is 615213.

312516 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 14400 = 546^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

312516 is an undulating number in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312516.

It is not an unprimeable number, because it can be changed into a prime (312517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4305 + ... + 4376.

2³¹²⁵¹⁶ is an apocalyptic number.

312516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312516 is an abundant number, since it is smaller than the sum of its proper divisors (477546).

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

312516 is a wasteful number, since it uses less digits than its factorization.

312516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8686 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 312516 is about 559.0313050268. The cubic root of 312516 is about 67.8615985466.

Adding to 312516 its reverse (615213), we get a palindrome (927729).

It can be divided in two parts, 312 and 516, that added together give a palindrome (828).

The spelling of 312516 in words is "three hundred twelve thousand, five hundred sixteen".