40961 has 2 divisors, whose sum is σ = 40962. Its totient is φ = 40960.

The previous prime is 40949. The next prime is 40973. The reversal of 40961 is 16904.

It is a balanced prime because it is at equal distance from previous prime (40949) and next prime (40973).

It can be written as a sum of positive squares in only one way, i.e., 40000 + 961 = 200^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 40961 - 2⁶ = 40897 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20480 + 20481.

It is an arithmetic number, because the mean of its divisors is an integer number (20481).

It is a Proth number, since it is equal to 5 ⋅ 2¹³ + 1 and 5 < 2¹³.

2⁴⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

40961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40961 is an equidigital number, since it uses as much as digits as its factorization.

40961 is an odious number, because the sum of its binary digits is odd.

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

The square root of 40961 is about 202.3882407651. The cubic root of 40961 is about 34.4712355636.

It can be divided in two parts, 40 and 961, that added together give a palindrome (1001).

The spelling of 40961 in words is "forty thousand, nine hundred sixty-one".