47629 has 2 divisors, whose sum is σ = 47630. Its totient is φ = 47628.

The previous prime is 47623. The next prime is 47639. The reversal of 47629 is 92674.

47629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 9604 = 195^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 47629 - 2^{7} = 47501 is a prime.

It is a Chen prime.

It is an Ulam number.

47629 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 47597 and 47606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23814 + 23815.

It is an arithmetic number, because the mean of its divisors is an integer number (23815).

2^{47629} is an apocalyptic number.

It is an amenable number.

47629 is a deficient number, since it is larger than the sum of its proper divisors (1).

47629 is an equidigital number, since it uses as much as digits as its factorization.

47629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The square root of 47629 is about 218.2406928141. The cubic root of 47629 is about 36.2485373964.

Adding to 47629 its product of digits (3024), we get a cube (50653 = 37^{3}).

It can be divided in two parts, 476 and 29, that added together give a palindrome (505).

The spelling of 47629 in words is "forty-seven thousand, six hundred twenty-nine".

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