2772117 has 16 divisors (see below), whose sum is σ = 4159680. Its totient is φ = 1824336.

The previous prime is 2772101. The next prime is 2772127. The reversal of 2772117 is 7112772.

2772117 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2772117 - 2⁴ = 2772101 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (259980).

2^2772117 is an apocalyptic number.

2772117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2772117 is a deficient number, since it is larger than the sum of its proper divisors (1387563).

2772117 is a wasteful number, since it uses less digits than its factorization.

2772117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its digits is 1372, while the sum is 27.

The square root of 2772117 is about 1664.9675672517. The cubic root of 2772117 is about 140.4765562468.

Adding to 2772117 its reverse (7112772), we get a palindrome (9884889).

The spelling of 2772117 in words is "two million, seven hundred seventy-two thousand, one hundred seventeen".