993447361 has 9 divisors (see below), whose sum is σ = 1018477539. Its totient is φ = 969020136.

The previous prime is 993447341. The next prime is 993447379. The reversal of 993447361 is 163744399.

The square root of 993447361 is 31519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 971880625 + 21566736 = 31175^2 + 4644^2 .

It is not a de Polignac number, because 993447361 - 2⁷ = 993447233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993447311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1354951 + ... + 1355683.

It is an arithmetic number, because the mean of its divisors is an integer number (113164171).

Almost surely, 2^993447361 is an apocalyptic number.

993447361 is the 31519-th square number.

993447361 is the 15760-th centered octagonal number.

It is an amenable number.

993447361 is a deficient number, since it is larger than the sum of its proper divisors (25030178).

993447361 is an frugal number, since it uses more digits than its factorization.

993447361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 776 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The cubic root of 993447361 is about 997.8109987700.

The spelling of 993447361 in words is "nine hundred ninety-three million, four hundred forty-seven thousand, three hundred sixty-one".