47238129 has 27 divisors (see below), whose sum is σ = 71572683. Its totient is φ = 30021264.

The previous prime is 47238119. The next prime is 47238133. The reversal of 47238129 is 92183274.

The square root of 47238129 is 6873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24770529 + 22467600 = 4977^2 + 4740^2 .

It is not a de Polignac number, because 47238129 - 2⁵ = 47238097 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 47238093 and 47238102.

It is not an unprimeable number, because it can be changed into a prime (47238119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 597912 + ... + 597990.

Almost surely, 2^47238129 is an apocalyptic number.

47238129 is the 6873-rd square number.

47238129 is the 3437-th centered octagonal number.

It is an amenable number.

47238129 is a deficient number, since it is larger than the sum of its proper divisors (24334554).

47238129 is an equidigital number, since it uses as much as digits as its factorization.

47238129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 47238129 is about 361.4910611129.

Multiplying 47238129 by its sum of digits (36), we get a square (1700572644 = 41238²).

The spelling of 47238129 in words is "forty-seven million, two hundred thirty-eight thousand, one hundred twenty-nine".