2967961441 has 9 divisors (see below), whose sum is σ = 2995618899. Its totient is φ = 2940558504.

The previous prime is 2967961433. The next prime is 2967961453. The reversal of 2967961441 is 1441697692.

The square root of 2967961441 is 54479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 869955025 + 2098006416 = 29495^2 + 45804^2 .

It is not a de Polignac number, because 2967961441 - 2³ = 2967961433 is a prime.

It is a Duffinian number.

Its product of digits (653184) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2967961411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8553030 + ... + 8553376.

Almost surely, 2^2967961441 is an apocalyptic number.

2967961441 is the 54479-th square number.

2967961441 is the 27240-th centered octagonal number.

It is an amenable number.

2967961441 is a deficient number, since it is larger than the sum of its proper divisors (27657458).

2967961441 is an frugal number, since it uses more digits than its factorization.

2967961441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The cubic root of 2967961441 is about 1437.0970066914.

Multiplying 2967961441 by its sum of digits (49), we get a square (145430110609 = 381353²).

The spelling of 2967961441 in words is "two billion, nine hundred sixty-seven million, nine hundred sixty-one thousand, four hundred forty-one".