Search a number
-
+
10357 is a prime number
BaseRepresentation
bin10100001110101
3112012121
42201311
5312412
6115541
742124
oct24165
915177
1010357
117866
125bb1
134939
143abb
153107
hex2875

10357 has 2 divisors, whose sum is σ = 10358. Its totient is φ = 10356.

The previous prime is 10343. The next prime is 10369. The reversal of 10357 is 75301.

Adding to 10357 its reverse (75301), we get a palindrome (85658).

It can be divided in two parts, 10 and 357, that multiplied together give a triangular number (3570 = T84).

10357 is nontrivially palindromic in base 7.

10357 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., 8836 + 1521 = 94^2 + 39^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10357 is a prime.

It is a super-3 number, since 3×103573 = 3332906907879, which contains 333 as substring.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 10357.

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 10357.

It is not a weakly prime, because it can be changed into another prime (10337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5178 + 5179.

It is an arithmetic number, because the mean of its divisors is an integer number (5179).

It is an amenable number.

10357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10357 is an equidigital number, since it uses as much as digits as its factorization.

10357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10357 is about 101.7693470550. The cubic root of 10357 is about 21.7977328394.

The spelling of 10357 in words is "ten thousand, three hundred fifty-seven".