Search a number
-
+
473523137 is a prime number
BaseRepresentation
bin11100001110010…
…110001111000001
31020000000110121222
4130032112033001
51432210220022
6114553124425
714506610633
oct3416261701
91200013558
10473523137
11223322a3a
121126b9715
1377144909
1446c62a53
152b888242
hex1c3963c1

473523137 has 2 divisors, whose sum is σ = 473523138. Its totient is φ = 473523136.

The previous prime is 473523133. The next prime is 473523139. The reversal of 473523137 is 731325374.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425968321 + 47554816 = 20639^2 + 6896^2 .

It is a cyclic number.

It is not a de Polignac number, because 473523137 - 22 = 473523133 is a prime.

It is a super-2 number, since 2×4735231372 = 448448322548641538, which contains 22 as substring.

Together with 473523139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 473523097 and 473523106.

It is not a weakly prime, because it can be changed into another prime (473523133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236761568 + 236761569.

It is an arithmetic number, because the mean of its divisors is an integer number (236761569).

Almost surely, 2473523137 is an apocalyptic number.

It is an amenable number.

473523137 is a deficient number, since it is larger than the sum of its proper divisors (1).

473523137 is an equidigital number, since it uses as much as digits as its factorization.

473523137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920, while the sum is 35.

The square root of 473523137 is about 21760.5867797723. The cubic root of 473523137 is about 779.4358933560.

It can be divided in two parts, 4735 and 23137, that added together give a palindrome (27872).

The spelling of 473523137 in words is "four hundred seventy-three million, five hundred twenty-three thousand, one hundred thirty-seven".