2977312 has 48 divisors (see below), whose sum is σ = 6699672. Its totient is φ = 1290240.

The previous prime is 2977283. The next prime is 2977313. The reversal of 2977312 is 2137792.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 1527696 = 1204^2 + 1236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6862 + ... + 7282.

2^2977312 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 2977312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349836).

2977312 is an abundant number, since it is smaller than the sum of its proper divisors (3722360).

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

2977312 is a wasteful number, since it uses less digits than its factorization.

2977312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 2977312 is about 1725.4889162206. The cubic root of 2977312 is about 143.8604615363.

The spelling of 2977312 in words is "two million, nine hundred seventy-seven thousand, three hundred twelve".