4961 has 6 divisors (see below), whose sum is σ = 5586. Its totient is φ = 4400.

The previous prime is 4957. The next prime is 4967. The reversal of 4961 is 1694.

4961 = 16² + 17² + ... + 26².

4961 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 1936 = 55^2 + 44^2 .

It is not a de Polignac number, because 4961 - 2² = 4957 is a prime.

It is a super-2 number, since 2×4961² = 49223042, which contains 22 as substring.

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 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967) 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, 101 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

4961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4961 is the 41-st octagonal number.

4961 is the 32-nd centered decagonal number.

It is an amenable number.

4961 is a deficient number, since it is larger than the sum of its proper divisors (625).

4961 is a wasteful number, since it uses less digits than its factorization.

4961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 4961 is about 70.4343666118. The cubic root of 4961 is about 17.0551839943.

It can be divided in two parts, 4 and 961, that multiplied together give a square (3844 = 62²).

The spelling of 4961 in words is "four thousand, nine hundred sixty-one".