312345252 has 18 divisors (see below), whose sum is σ = 789539478. Its totient is φ = 104115072.

The previous prime is 312345251. The next prime is 312345263. The reversal of 312345252 is 252543213.

It is a happy number.

312345252 is a `hidden beast` number, since 312 + 345 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 299428416 + 12916836 = 17304^2 + 3594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (312345251) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4338093 + ... + 4338164.

Almost surely, 2^312345252 is an apocalyptic number.

It is an amenable number.

312345252 is an abundant number, since it is smaller than the sum of its proper divisors (477194226).

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

312345252 is a wasteful number, since it uses less digits than its factorization.

312345252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676267 (or 8676262 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 312345252 is about 17673.2920532650. The cubic root of 312345252 is about 678.4923721349.

Adding to 312345252 its reverse (252543213), we get a palindrome (564888465).

The spelling of 312345252 in words is "three hundred twelve million, three hundred forty-five thousand, two hundred fifty-two".