993049 has 2 divisors, whose sum is σ = 993050. Its totient is φ = 993048.

The previous prime is 993037. The next prime is 993053. The reversal of 993049 is 940399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 403225 = 768^2 + 635^2 .

It is an emirp because it is prime and its reverse (940399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993049 - 2¹⁷ = 861977 is a prime.

It is a super-2 number, since 2×993049² = 1972292632802, which contains 22 as substring.

993049 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (993079) 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, 496524 + 496525.

It is an arithmetic number, because the mean of its divisors is an integer number (496525).

2⁹⁹³⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

993049 is a deficient number, since it is larger than the sum of its proper divisors (1).

993049 is an equidigital number, since it uses as much as digits as its factorization.

993049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 993049 is about 996.5184393678. The cubic root of 993049 is about 99.7677610683.

Subtracting from 993049 its reverse (940399), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 993049 in words is "nine hundred ninety-three thousand, forty-nine".