10037641 has 2 divisors, whose sum is σ = 10037642. Its totient is φ = 10037640.

The previous prime is 10037639. The next prime is 10037663. The reversal of 10037641 is 14673001.

It is an a-pointer prime, because the next prime (10037663) can be obtained adding 10037641 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9363600 + 674041 = 3060^2 + 821^2 .

It is a cyclic number.

It is not a de Polignac number, because 10037641 - 2¹ = 10037639 is a prime.

Together with 10037639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10037141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018820 + 5018821.

It is an arithmetic number, because the mean of its divisors is an integer number (5018821).

Almost surely, 2^10037641 is an apocalyptic number.

It is an amenable number.

10037641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037641 is an equidigital number, since it uses as much as digits as its factorization.

10037641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10037641 is about 3168.2236347834. The cubic root of 10037641 is about 215.7134474646.

The spelling of 10037641 in words is "ten million, thirty-seven thousand, six hundred forty-one".