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993407 is a prime number
BaseRepresentation
bin11110010100001111111
31212110200212
43302201333
5223242112
633143035
711305142
oct3624177
91773625
10993407
116193a8
123baa7b
1328a21c
141bc059
15149522
hexf287f

993407 has 2 divisors, whose sum is σ = 993408. Its totient is φ = 993406.

The previous prime is 993401. The next prime is 993431. The reversal of 993407 is 704399.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (704399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993407 - 214 = 977023 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496703 + 496704.

It is an arithmetic number, because the mean of its divisors is an integer number (496704).

2993407 is an apocalyptic number.

993407 is a deficient number, since it is larger than the sum of its proper divisors (1).

993407 is an equidigital number, since it uses as much as digits as its factorization.

993407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 993407 is about 996.6980485583. The cubic root of 993407 is about 99.7797485826.

The spelling of 993407 in words is "nine hundred ninety-three thousand, four hundred seven".