727961 has 4 divisors (see below), whose sum is σ = 783972. Its totient is φ = 671952.

The previous prime is 727949. The next prime is 727981. The reversal of 727961 is 169727.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169727 = 19 ⋅8933.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 534361 = 440^2 + 731^2 .

It is a cyclic number.

It is not a de Polignac number, because 727961 - 2¹⁴ = 711577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27986 + ... + 28011.

It is an arithmetic number, because the mean of its divisors is an integer number (195993).

2⁷²⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

727961 is a deficient number, since it is larger than the sum of its proper divisors (56011).

727961 is a wasteful number, since it uses less digits than its factorization.

727961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56010.

The product of its digits is 5292, while the sum is 32.

The square root of 727961 is about 853.2063056495. The cubic root of 727961 is about 89.9572224692.

The spelling of 727961 in words is "seven hundred twenty-seven thousand, nine hundred sixty-one".