Search a number
-
+
47381 is a prime number
BaseRepresentation
bin1011100100010101
32101222212
423210111
53004011
61003205
7255065
oct134425
971885
1047381
1132664
1223505
1318749
14133a5
15e08b
hexb915

47381 has 2 divisors, whose sum is σ = 47382. Its totient is φ = 47380.

The previous prime is 47363. The next prime is 47387. The reversal of 47381 is 18374.

It is a happy number.

47381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 1156 = 215^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 47381 - 26 = 47317 is a prime.

It is a super-2 number, since 2×473812 = 4489918322, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47381.

It is not a weakly prime, because it can be changed into another prime (47387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23690 + 23691.

It is an arithmetic number, because the mean of its divisors is an integer number (23691).

247381 is an apocalyptic number.

It is an amenable number.

47381 is a deficient number, since it is larger than the sum of its proper divisors (1).

47381 is an equidigital number, since it uses as much as digits as its factorization.

47381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 23.

The square root of 47381 is about 217.6717712520. The cubic root of 47381 is about 36.1855135712.

The spelling of 47381 in words is "forty-seven thousand, three hundred eighty-one".