2973312 has 96 divisors (see below), whose sum is σ = 8950500. Its totient is φ = 946176.

The previous prime is 2973277. The next prime is 2973331. The reversal of 2973312 is 2133792.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 69696 = 1704^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33364 + ... + 33452.

2^2973312 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 2973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475250).

2973312 is an abundant number, since it is smaller than the sum of its proper divisors (5977188).

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

2973312 is a wasteful number, since it uses less digits than its factorization.

2973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2973312 is about 1724.3294348819. The cubic root of 2973312 is about 143.7960074539.

Adding to 2973312 its product of digits (2268), we get a triangular number (2975580 = T₂₄₃₉).

The spelling of 2973312 in words is "two million, nine hundred seventy-three thousand, three hundred twelve".