2251 has 2 divisors, whose sum is σ = 2252. Its totient is φ = 2250.

The previous prime is 2243. The next prime is 2267. The reversal of 2251 is 1522.

2251 is nontrivially palindromic in base 14.

2251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2251 - 2³ = 2243 is a prime.

It is a Chen prime.

2251 is an undulating number in base 14.

2251 is a lucky number.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (2221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125 + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (1126).

2²²⁵¹ is an apocalyptic number.

2251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251 is an equidigital number, since it uses as much as digits as its factorization.

2251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20, while the sum is 10.

The square root of 2251 is about 47.4447046571. Note that the first 3 decimals coincide. The cubic root of 2251 is about 13.1056479734.

Adding to 2251 its reverse (1522), we get a palindrome (3773).

Subtracting from 2251 its reverse (1522), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 2 and 251, that added together give a triangular number (253 = T₂₂).

The spelling of 2251 in words is "two thousand, two hundred fifty-one".