4901 has 6 divisors (see below), whose sum is σ = 5490. Its totient is φ = 4368.

The previous prime is 4889. The next prime is 4903. The reversal of 4901 is 1094.

Added to its reverse (1094) it gives a triangular number (5995 = T₁₀₉).

4901 = 49² + 50².

It is a Cunningham number, because it is equal to 70²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 1 + 4900 = 1^2 + 70^2 .

It is not a de Polignac number, because 4901 - 2¹⁰ = 3877 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 8 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 4901.

It is not an unprimeable number, because it can be changed into a prime (4903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (915).

2⁴⁹⁰¹ is an apocalyptic number.

4901 is the 50-th centered square number.

It is an amenable number.

4901 is a deficient number, since it is larger than the sum of its proper divisors (589).

4901 is a wasteful number, since it uses less digits than its factorization.

4901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4901 is about 70.0071424927. The cubic root of 4901 is about 16.9861478855.

Adding to 4901 its reverse (1094), we get a palindrome (5995).

The spelling of 4901 in words is "four thousand, nine hundred one".