4151 has 4 divisors (see below), whose sum is σ = 4752. Its totient is φ = 3552.

The previous prime is 4139. The next prime is 4153. The reversal of 4151 is 1514.

Adding to 4151 its reverse (1514), we get a palindrome (5665).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1514 = 2 ⋅757.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-4151 is a prime.

It is a d-powerful number, because it can be written as **4**^{5} + **5**^{5} + **1** + **1** .

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4151.

It is not an unprimeable number, because it can be changed into a prime (4153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

2^{4151} is an apocalyptic number.

4151 is a deficient number, since it is larger than the sum of its proper divisors (601).

4151 is an equidigital number, since it uses as much as digits as its factorization.

4151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 20, while the sum is 11.

The square root of 4151 is about 64.4282546714. The cubic root of 4151 is about 16.0712964128.

The spelling of 4151 in words is "four thousand, one hundred fifty-one".

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