Search a number
-
+
1057237 is a prime number
BaseRepresentation
bin100000010000111010101
31222201020221
410002013111
5232312422
634354341
711662216
oct4020725
91881227
101057237
11662355
1242b9b1
132b02ac
141d740d
1515d3c7
hex1021d5

1057237 has 2 divisors, whose sum is σ = 1057238. Its totient is φ = 1057236.

The previous prime is 1057223. The next prime is 1057249. The reversal of 1057237 is 7327501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 835396 + 221841 = 914^2 + 471^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057237 - 211 = 1055189 is a prime.

It is a super-2 number, since 2×10572372 = 2235500148338, which contains 22 as substring.

It is equal to p82636 and since 1057237 and 82636 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528618 + 528619.

It is an arithmetic number, because the mean of its divisors is an integer number (528619).

21057237 is an apocalyptic number.

It is an amenable number.

1057237 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057237 is an equidigital number, since it uses as much as digits as its factorization.

1057237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 1057237 is about 1028.2203071327. The cubic root of 1057237 is about 101.8726142691.

It can be divided in two parts, 10572 and 37, that added together give a square (10609 = 1032).

The spelling of 1057237 in words is "one million, fifty-seven thousand, two hundred thirty-seven".