Search a number
-
+
1037681 is a prime number
BaseRepresentation
bin11111101010101110001
31221201102122
43331111301
5231201211
634124025
711551211
oct3752561
91851378
101037681
11649697
12420615
132a4418
141d0241
151576db
hexfd571

1037681 has 2 divisors, whose sum is σ = 1037682. Its totient is φ = 1037680.

The previous prime is 1037677. The next prime is 1037683. The reversal of 1037681 is 1867301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1018081 + 19600 = 1009^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 1037681 - 22 = 1037677 is a prime.

It is a super-2 number, since 2×10376812 = 2153563715522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1037683, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1037681.

It is not a weakly prime, because it can be changed into another prime (1037683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518840 + 518841.

It is an arithmetic number, because the mean of its divisors is an integer number (518841).

21037681 is an apocalyptic number.

1037681 is the 545-th centered heptagonal number.

It is an amenable number.

1037681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037681 is an equidigital number, since it uses as much as digits as its factorization.

1037681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1037681 is about 1018.6662849039. Note that the first 3 decimals coincide. The cubic root of 1037681 is about 101.2405793196.

It can be divided in two parts, 10376 and 81, that multiplied together give a triangular number (840456 = T1296).

The spelling of 1037681 in words is "one million, thirty-seven thousand, six hundred eighty-one".