2772105 has 32 divisors (see below), whose sum is σ = 5370624. Its totient is φ = 1191936.

The previous prime is 2772101. The next prime is 2772127. The reversal of 2772105 is 5012772.

2772105 = 522² + 523² + ... + 531².

It is not a de Polignac number, because 2772105 - 2² = 2772101 is a prime.

It is a super-2 number, since 2×2772105² = 15369132262050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2772101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

2^2772105 is an apocalyptic number.

It is an amenable number.

2772105 is a deficient number, since it is larger than the sum of its proper divisors (2598519).

2772105 is a wasteful number, since it uses less digits than its factorization.

2772105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 2772105 is about 1664.9639635740. The cubic root of 2772105 is about 140.4763535472.

Adding to 2772105 its reverse (5012772), we get a palindrome (7784877).

The spelling of 2772105 in words is "two million, seven hundred seventy-two thousand, one hundred five".