2772629 has 2 divisors, whose sum is σ = 2772630. Its totient is φ = 2772628.

The previous prime is 2772607. The next prime is 2772631. The reversal of 2772629 is 9262772.

2772629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1495729 + 1276900 = 1223^2 + 1130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772629 is a prime.

Together with 2772631, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 7 + 7⁶ + 2¹⁹ + 6² + 2²¹ + 9³ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386314 + 1386315.

It is an arithmetic number, because the mean of its divisors is an integer number (1386315).

2^2772629 is an apocalyptic number.

It is an amenable number.

2772629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772629 is an equidigital number, since it uses as much as digits as its factorization.

2772629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

The square root of 2772629 is about 1665.1213169016. The cubic root of 2772629 is about 140.4852042186.

The spelling of 2772629 in words is "two million, seven hundred seventy-two thousand, six hundred twenty-nine".