2772137 has 2 divisors, whose sum is σ = 2772138. Its totient is φ = 2772136.

The previous prime is 2772131. The next prime is 2772179. The reversal of 2772137 is 7312772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2446096 + 326041 = 1564^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772137 - 2¹⁰ = 2771113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2772131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386068 + 1386069.

It is an arithmetic number, because the mean of its divisors is an integer number (1386069).

2^2772137 is an apocalyptic number.

It is an amenable number.

2772137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772137 is an equidigital number, since it uses as much as digits as its factorization.

2772137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4116, while the sum is 29.

The square root of 2772137 is about 1664.9735733639. The cubic root of 2772137 is about 140.4768940782.

It can be divided in two parts, 277213 and 7, that multiplied together give a palindrome (1940491).

The spelling of 2772137 in words is "two million, seven hundred seventy-two thousand, one hundred thirty-seven".