10737631 has 2 divisors, whose sum is σ = 10737632. Its totient is φ = 10737630.

The previous prime is 10737607. The next prime is 10737637. The reversal of 10737631 is 13673701.

10737631 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13673701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10737631 - 2²³ = 2349023 is a prime.

It is a super-2 number, since 2×10737631² = 230593438984322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10737631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10737637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5368815 + 5368816.

It is an arithmetic number, because the mean of its divisors is an integer number (5368816).

Almost surely, 2^10737631 is an apocalyptic number.

10737631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10737631 is an equidigital number, since it uses as much as digits as its factorization.

10737631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 10737631 is about 3276.8324644388. The cubic root of 10737631 is about 220.6155693925.

The spelling of 10737631 in words is "ten million, seven hundred thirty-seven thousand, six hundred thirty-one".