47345 has 8 divisors (see below), whose sum is σ = 60264. Its totient is φ = 35584.

The previous prime is 47339. The next prime is 47351. The reversal of 47345 is 54374.

47345 = T₁₅ + T₁₆ + ... + T₆₅.

It is an interprime number because it is at equal distance from previous prime (47339) and next prime (47351).

It can be written as a sum of positive squares in 4 ways, for example, as 2401 + 44944 = 49^2 + 212^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47345 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 47345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (7533).

2⁴⁷³⁴⁵ is an apocalyptic number.

It is an amenable number.

47345 is a deficient number, since it is larger than the sum of its proper divisors (12919).

47345 is a wasteful number, since it uses less digits than its factorization.

47345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579.

The product of its digits is 1680, while the sum is 23.

The square root of 47345 is about 217.5890622251. The cubic root of 47345 is about 36.1763466860.

The spelling of 47345 in words is "forty-seven thousand, three hundred forty-five".