998553361 has 16 divisors (see below), whose sum is σ = 1140171984. Its totient is φ = 866340864.

The previous prime is 998553359. The next prime is 998553371. The reversal of 998553361 is 163355899.

998553361 = 22344² + 22345².

It is a happy number.

998553361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21678336 + 976875025 = 4656^2 + 31255^2 .

It is a cyclic number.

It is not a de Polignac number, because 998553361 - 2¹ = 998553359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998553371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185865 + ... + 191161.

It is an arithmetic number, because the mean of its divisors is an integer number (71260749).

Almost surely, 2^998553361 is an apocalyptic number.

998553361 is the 22345-th centered square number.

It is an amenable number.

998553361 is a deficient number, since it is larger than the sum of its proper divisors (141618623).

998553361 is a wasteful number, since it uses less digits than its factorization.

998553361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180.

The product of its digits is 874800, while the sum is 49.

The square root of 998553361 is about 31599.8949523570. The cubic root of 998553361 is about 999.5175542836.

The spelling of 998553361 in words is "nine hundred ninety-eight million, five hundred fifty-three thousand, three hundred sixty-one".