917993 has 2 divisors, whose sum is σ = 917994. Its totient is φ = 917992.

The previous prime is 917971. The next prime is 918011. The reversal of 917993 is 399719.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760384 + 157609 = 872^2 + 397^2 .

It is an emirp because it is prime and its reverse (399719) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 917993 - 2⁸ = 917737 is a prime.

It is a super-2 number, since 2×917993² = 1685422296098, which contains 22 as substring.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (917923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 458996 + 458997.

It is an arithmetic number, because the mean of its divisors is an integer number (458997).

2⁹¹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

917993 is a deficient number, since it is larger than the sum of its proper divisors (1).

917993 is an equidigital number, since it uses as much as digits as its factorization.

917993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 38.

The square root of 917993 is about 958.1195123783. The cubic root of 917993 is about 97.1881070085.

The spelling of 917993 in words is "nine hundred seventeen thousand, nine hundred ninety-three".