10037 has 2 divisors, whose sum is σ = 10038. Its totient is φ = 10036.

The previous prime is 10009. The next prime is 10039. The reversal of 10037 is 73001.

Adding to 10037 its reverse (73001), we get a palindrome (83038).

It can be divided in two parts, 1003 and 7, that multiplied together give a triangular number (7021 = T_{118}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 2116 = 89^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 10037 - 2^{6} = 9973 is a prime.

Together with 10039, it forms a pair of twin primes.

It is a Chen prime.

10037 is a modest number, since divided by 37 gives 10 as remainder.

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 10037.

It is not a weakly prime, because it can be changed into another prime (10039) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018 + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (5019).

2^{10037} is an apocalyptic number.

It is an amenable number.

10037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037 is an equidigital number, since it uses as much as digits as its factorization.

10037 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 10037 is about 100.1848291909. The cubic root of 10037 is about 21.5708855573.

The spelling of 10037 in words is "ten thousand, thirty-seven".

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