2905 has 8 divisors (see below), whose sum is σ = 4032. Its totient is φ = 1968.

The previous prime is 2903. The next prime is 2909. The reversal of 2905 is 5092.

2905 = T₅ + T₆ + ... + T₂₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2905 - 2¹ = 2903 is a prime.

It is an alternating number because its digits alternate between even and odd.

2905 is a lucky number.

It is a nialpdrome in base 5 and base 8.

It is not an unprimeable number, because it can be changed into a prime (2903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is an amenable number.

2905 is a deficient number, since it is larger than the sum of its proper divisors (1127).

2905 is an equidigital number, since it uses as much as digits as its factorization.

2905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 2905 is about 53.8980519128. The cubic root of 2905 is about 14.2686224161.

Adding to 2905 its reverse (5092), we get a palindrome (7997).

Subtracting 2905 from its reverse (5092), we obtain a 7-th power (2187 = 3⁷).

The spelling of 2905 in words is "two thousand, nine hundred five".