312535132 has 72 divisors (see below), whose sum is σ = 715097376. Its totient is φ = 118242432.

The previous prime is 312535127. The next prime is 312535151. The reversal of 312535132 is 231535213.

312535132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312535097 and 312535106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55938 + ... + 61270.

It is an arithmetic number, because the mean of its divisors is an integer number (9931908).

Almost surely, 2^312535132 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 312535132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357548688).

312535132 is an abundant number, since it is smaller than the sum of its proper divisors (402562244).

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

312535132 is a wasteful number, since it uses less digits than its factorization.

312535132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5378 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 312535132 is about 17678.6631847547. The cubic root of 312535132 is about 678.6298333077.

The spelling of 312535132 in words is "three hundred twelve million, five hundred thirty-five thousand, one hundred thirty-two".