993961 has 2 divisors, whose sum is σ = 993962. Its totient is φ = 993960.

The previous prime is 993943. The next prime is 993977. The reversal of 993961 is 169399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 72361 = 960^2 + 269^2 .

It is an emirp because it is prime and its reverse (169399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993961 - 2¹⁹ = 469673 is a prime.

993961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 993961.

It is not a weakly prime, because it can be changed into another prime (990961) 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 as a sum of consecutive naturals, namely, 496980 + 496981.

It is an arithmetic number, because the mean of its divisors is an integer number (496981).

2⁹⁹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

993961 is a deficient number, since it is larger than the sum of its proper divisors (1).

993961 is an equidigital number, since it uses as much as digits as its factorization.

993961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 37.

The square root of 993961 is about 996.9759274927. The cubic root of 993961 is about 99.7982934181.

It can be divided in two parts, 9939 and 61, that added together give a 4-th power (10000 = 10⁴).

The spelling of 993961 in words is "nine hundred ninety-three thousand, nine hundred sixty-one".