2784961 has 2 divisors, whose sum is σ = 2784962. Its totient is φ = 2784960.

The previous prime is 2784949. The next prime is 2784973. The reversal of 2784961 is 1694872.

It is a balanced prime because it is at equal distance from previous prime (2784949) and next prime (2784973).

It can be written as a sum of positive squares in only one way, i.e., 1476225 + 1308736 = 1215^2 + 1144^2 .

It is a cyclic number.

It is not a de Polignac number, because 2784961 - 2¹³ = 2776769 is a prime.

2784961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2784961.

It is not a weakly prime, because it can be changed into another prime (2784911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1392480 + 1392481.

It is an arithmetic number, because the mean of its divisors is an integer number (1392481).

2^2784961 is an apocalyptic number.

It is an amenable number.

2784961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2784961 is an equidigital number, since it uses as much as digits as its factorization.

2784961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 37.

The square root of 2784961 is about 1668.8202419674. The cubic root of 2784961 is about 140.6931778707.

The spelling of 2784961 in words is "two million, seven hundred eighty-four thousand, nine hundred sixty-one".