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47073 = 3131771
BaseRepresentation
bin1011011111100001
32101120110
423133201
53001243
61001533
7254145
oct133741
971513
1047073
1132404
12232a9
1318570
1413225
15de33
hexb7e1

47073 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 26880.

The previous prime is 47059. The next prime is 47087. The reversal of 47073 is 37074.

It is an interprime number because it is at equal distance from previous prime (47059) and next prime (47087).

It is not a de Polignac number, because 47073 - 24 = 47057 is a prime.

47073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (47093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

247073 is an apocalyptic number.

It is an amenable number.

47073 is a deficient number, since it is larger than the sum of its proper divisors (25503).

47073 is a wasteful number, since it uses less digits than its factorization.

47073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 47073 is about 216.9631305084. The cubic root of 47073 is about 36.1069351296.

Subtracting from 47073 its reverse (37074), we obtain a palindrome (9999).

The spelling of 47073 in words is "forty-seven thousand, seventy-three", and thus it is an iban number.

Divisors: 1 3 13 17 39 51 71 213 221 663 923 1207 2769 3621 15691 47073