4051 has 2 divisors, whose sum is σ = 4052. Its totient is φ = 4050.

The previous prime is 4049. The next prime is 4057. The reversal of 4051 is 1504.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4051 - 2¹ = 4049 is a prime.

Together with 4049, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (4057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2025 + 2026.

It is an arithmetic number, because the mean of its divisors is an integer number (2026).

2⁴⁰⁵¹ is an apocalyptic number.

4051 is a deficient number, since it is larger than the sum of its proper divisors (1).

4051 is an equidigital number, since it uses as much as digits as its factorization.

4051 is an odious number, because the sum of its binary digits is odd.

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

The square root of 4051 is about 63.6474665639. The cubic root of 4051 is about 15.9411903539.

Adding to 4051 its reverse (1504), we get a palindrome (5555).

It can be divided in two parts, 405 and 1, that added together give a triangular number (406 = T₂₈).

The spelling of 4051 in words is "four thousand, fifty-one".