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993397 is a prime number
BaseRepresentation
bin11110010100001110101
31212110200111
43302201311
5223242042
633143021
711305126
oct3624165
91773614
10993397
11619399
123baa71
1328a212
141bc04d
15149517
hexf2875

993397 has 2 divisors, whose sum is σ = 993398. Its totient is φ = 993396.

The previous prime is 993367. The next prime is 993401. The reversal of 993397 is 793399.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 576081 + 417316 = 759^2 + 646^2 .

It is an emirp because it is prime and its reverse (793399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993397 - 27 = 993269 is a prime.

993397 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993367) 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, 496698 + 496699.

It is an arithmetic number, because the mean of its divisors is an integer number (496699).

2993397 is an apocalyptic number.

It is an amenable number.

993397 is a deficient number, since it is larger than the sum of its proper divisors (1).

993397 is an equidigital number, since it uses as much as digits as its factorization.

993397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45927, while the sum is 40.

The square root of 993397 is about 996.6930319813. The cubic root of 993397 is about 99.7794137750.

The spelling of 993397 in words is "nine hundred ninety-three thousand, three hundred ninety-seven".