975312 has 60 divisors (see below), whose sum is σ = 2945124. Its totient is φ = 299520.

The previous prime is 975287. The next prime is 975313. The reversal of 975312 is 213579.

975312 is nontrivially palindromic in base 5.

975312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 767376 = 456^2 + 876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975313) by changing a digit.

975312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1612 + ... + 2132.

2⁹⁷⁵³¹² 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 975312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472562).

975312 is an abundant number, since it is smaller than the sum of its proper divisors (1969812).

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

975312 is a wasteful number, since it uses less digits than its factorization.

975312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 975312 is about 987.5788576109. The cubic root of 975312 is about 99.1702000326.

The spelling of 975312 in words is "nine hundred seventy-five thousand, three hundred twelve".