312305532 has 96 divisors (see below), whose sum is σ = 937918464. Its totient is φ = 78494400.

The previous prime is 312305519. The next prime is 312305533. The reversal of 312305532 is 235503213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312305533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23193 + ... + 34095.

It is an arithmetic number, because the mean of its divisors is an integer number (9769984).

Almost surely, 2^312305532 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 312305532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468959232).

312305532 is an abundant number, since it is smaller than the sum of its proper divisors (625612932).

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

312305532 is a wasteful number, since it uses less digits than its factorization.

312305532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 312305532 is about 17672.1682880172. The cubic root of 312305532 is about 678.4636103088.

Adding to 312305532 its reverse (235503213), we get a palindrome (547808745).

The spelling of 312305532 in words is "three hundred twelve million, three hundred five thousand, five hundred thirty-two".