2891961 has 6 divisors (see below), whose sum is σ = 4177290. Its totient is φ = 1927968.

The previous prime is 2891929. The next prime is 2891963. The reversal of 2891961 is 1691982.

It can be written as a sum of positive squares in only one way, i.e., 2702736 + 189225 = 1644^2 + 435^2 .

It is not a de Polignac number, because 2891961 - 2⁵ = 2891929 is a prime.

2891961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2891963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160656 + ... + 160673.

It is an arithmetic number, because the mean of its divisors is an integer number (696215).

2^2891961 is an apocalyptic number.

It is an amenable number.

2891961 is a deficient number, since it is larger than the sum of its proper divisors (1285329).

2891961 is a wasteful number, since it uses less digits than its factorization.

2891961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321335 (or 321332 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2891961 is about 1700.5766668986. The cubic root of 2891961 is about 142.4724231031.

The spelling of 2891961 in words is "two million, eight hundred ninety-one thousand, nine hundred sixty-one".