47653 has 2 divisors, whose sum is σ = 47654. Its totient is φ = 47652.

The previous prime is 47639. The next prime is 47657. The reversal of 47653 is 35674.

47653 is nontrivially palindromic in base 5 and base 9.

47653 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., 37249 + 10404 = 193^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 47653 - 2¹³ = 39461 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 7 + 6⁶ + 5 + 3⁶ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23826 + 23827.

It is an arithmetic number, because the mean of its divisors is an integer number (23827).

2⁴⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

47653 is a deficient number, since it is larger than the sum of its proper divisors (1).

47653 is an equidigital number, since it uses as much as digits as its factorization.

47653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 25.

The square root of 47653 is about 218.2956710519. The cubic root of 47653 is about 36.2546248558.

It can be divided in two parts, 476 and 53, that added together give a square (529 = 23²).

The spelling of 47653 in words is "forty-seven thousand, six hundred fifty-three".