2782971 has 16 divisors (see below), whose sum is σ = 4195200. Its totient is φ = 1822824.

The previous prime is 2782939. The next prime is 2782973. The reversal of 2782971 is 1792872.

It is not a de Polignac number, because 2782971 - 2⁵ = 2782939 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

2782971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2782973) 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, 720 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (262200).

2^2782971 is an apocalyptic number.

2782971 is a deficient number, since it is larger than the sum of its proper divisors (1412229).

2782971 is a wasteful number, since it uses less digits than its factorization.

2782971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2782971 is about 1668.2239058352. The cubic root of 2782971 is about 140.6596590127.

Subtracting from 2782971 its reverse (1792872), we obtain a palindrome (990099).

It can be divided in two parts, 278 and 2971, that added together give a square (3249 = 57²).

The spelling of 2782971 in words is "two million, seven hundred eighty-two thousand, nine hundred seventy-one".