2967248 has 20 divisors (see below), whose sum is σ = 6087780. Its totient is φ = 1396224.

The previous prime is 2967247. The next prime is 2967259. The reversal of 2967248 is 8427692.

It can be written as a sum of positive squares in 2 ways, for example, as 1507984 + 1459264 = 1228^2 + 1208^2 .

It is a d-powerful number, because it can be written as 2⁵ + 9⁵ + 6⁵ + 7⁵ + 2¹⁹ + 4⁹ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5183 + ... + 5726.

It is an arithmetic number, because the mean of its divisors is an integer number (304389).

2^2967248 is an apocalyptic number.

It is an amenable number.

2967248 is an abundant number, since it is smaller than the sum of its proper divisors (3120532).

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

2967248 is a wasteful number, since it uses less digits than its factorization.

2967248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10928 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2967248 is about 1722.5701727361. The cubic root of 2967248 is about 143.6981847279.

The spelling of 2967248 in words is "two million, nine hundred sixty-seven thousand, two hundred forty-eight".