312322752 has 168 divisors, whose sum is σ = 1038465792. Its totient is φ = 87897600.

The previous prime is 312322697. The next prime is 312322783. The reversal of 312322752 is 257223213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285727 + ... + 286817.

It is an arithmetic number, because the mean of its divisors is an integer number (6181344).

Almost surely, 2^312322752 is an apocalyptic number.

312322752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519232896).

312322752 is an abundant number, since it is smaller than the sum of its proper divisors (726143040).

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

312322752 is a wasteful number, since it uses less digits than its factorization.

312322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 312322752 is about 17672.6554880697. The cubic root of 312322752 is about 678.4760798591.

Adding to 312322752 its reverse (257223213), we get a palindrome (569545965).

The spelling of 312322752 in words is "three hundred twelve million, three hundred twenty-two thousand, seven hundred fifty-two".