73961 has 2 divisors, whose sum is σ = 73962. Its totient is φ = 73960.

The previous prime is 73951. The next prime is 73973. The reversal of 73961 is 16937.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 1600 = 269^2 + 40^2 .

It is an emirp because it is prime and its reverse (16937) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73961 - 2⁶ = 73897 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73961.

It is not a weakly prime, because it can be changed into another prime (73951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36980 + 36981.

It is an arithmetic number, because the mean of its divisors is an integer number (36981).

2⁷³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

73961 is a deficient number, since it is larger than the sum of its proper divisors (1).

73961 is an equidigital number, since it uses as much as digits as its factorization.

73961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 73961 is about 271.9577173018. The cubic root of 73961 is about 41.9759877861.

Subtracting from 73961 its product of digits (1134), we obtain a palindrome (72827).

The spelling of 73961 in words is "seventy-three thousand, nine hundred sixty-one".