993642401 has 6 divisors (see below), whose sum is σ = 1055530470. Its totient is φ = 935192576.

The previous prime is 993642383. The next prime is 993642413. The reversal of 993642401 is 104246399.

It can be written as a sum of positive squares in 3 ways, for example, as 612612001 + 381030400 = 24751^2 + 19520^2 .

It is not a de Polignac number, because 993642401 - 2⁶ = 993642337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993642431) 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 5 ways as a sum of consecutive naturals, for example, 1718816 + ... + 1719393.

It is an arithmetic number, because the mean of its divisors is an integer number (175921745).

Almost surely, 2^993642401 is an apocalyptic number.

It is an amenable number.

993642401 is a deficient number, since it is larger than the sum of its proper divisors (61888069).

993642401 is a wasteful number, since it uses less digits than its factorization.

993642401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438243 (or 3438226 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 993642401 is about 31522.0938549456. The cubic root of 993642401 is about 997.8762933963.

The spelling of 993642401 in words is "nine hundred ninety-three million, six hundred forty-two thousand, four hundred one".