19345 has 8 divisors (see below), whose sum is σ = 23976. Its totient is φ = 14976.
The previous prime is 19333. The next prime is 19373. The reversal of 19345 is 54391.
It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 15376 = 63^2 + 124^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a 2-Lehmer number, since φ(19345) divides (19345-1)2.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-19345 is a prime.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 301.
It is an arithmetic number, because the mean of its divisors is an integer number (2997).
219345 is an apocalyptic number.
It is an amenable number.
19345 is a deficient number, since it is larger than the sum of its proper divisors (4631).
19345 is an equidigital number, since it uses as much as digits as its factorization.
19345 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131.
The product of its digits is 540, while the sum is 22.
The square root of 19345 is about 139.0863041424. The cubic root of 19345 is about 26.8445571999.
It can be divided in two parts, 19 and 345, that multiplied together give a triangular number (6555 = T114).
The spelling of 19345 in words is "nineteen thousand, three hundred forty-five".
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