1000037 has 2 divisors, whose sum is σ = 1000038. Its totient is φ = 1000036.

The previous prime is 1000033. The next prime is 1000039. The reversal of 1000037 is 7300001.

1000037 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., 982081 + 17956 = 991^2 + 134^2 .

It is an emirp because it is prime and its reverse (7300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000037 - 2² = 1000033 is a prime.

It is a super-3 number, since 3×1000037³ = 3000333012321151959, which contains 333 as substring.

Together with 1000039, it forms a pair of twin primes.

It is a Chen prime.

1000037 is a modest number, since divided by 37 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 999991 and 1000027.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500018 + 500019.

It is an arithmetic number, because the mean of its divisors is an integer number (500019).

2^1000037 is an apocalyptic number.

It is an amenable number.

1000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000037 is an equidigital number, since it uses as much as digits as its factorization.

1000037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 1000037 is about 1000.0184998289. The cubic root of 1000037 is about 100.0012333181.

Adding to 1000037 its reverse (7300001), we get a palindrome (8300038).

The spelling of 1000037 in words is "one million, thirty-seven", and thus it is an aban number and an uban number.