2864 has 10 divisors (see below), whose sum is σ = 5580. Its totient is φ = 1424.

The previous prime is 2861. The next prime is 2879. The reversal of 2864 is 4682.

2864 is nontrivially palindromic in base 5.

It is a d-powerful number, because it can be written as 2⁵ + 6⁴ + 8³ + 4⁵ .

2864 is an undulating number in base 5.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

2864 is a deficient number, since it is larger than the sum of its proper divisors (2716).

2864 is a wasteful number, since it uses less digits than its factorization.

2864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 2864 is about 53.5163526410. The cubic root of 2864 is about 14.2011769176.

It can be divided in two parts, 2 and 864, that multiplied together give a cube (1728 = 12³).

The spelling of 2864 in words is "two thousand, eight hundred sixty-four".