13628737 has 2 divisors, whose sum is σ = 13628738. Its totient is φ = 13628736.

The previous prime is 13628729. The next prime is 13628743. The reversal of 13628737 is 73782631.

13628737 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 can be written as a sum of positive squares in only one way, i.e., 9235521 + 4393216 = 3039^2 + 2096^2 .

It is a cyclic number.

It is not a de Polignac number, because 13628737 - 2³ = 13628729 is a prime.

It is a Chen prime.

It is equal to p₈₈₇₄₇₃ and since 13628737 and 887473 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 13628696 and 13628705.

It is not a weakly prime, because it can be changed into another prime (13628707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814368 + 6814369.

It is an arithmetic number, because the mean of its divisors is an integer number (6814369).

Almost surely, 2^13628737 is an apocalyptic number.

It is an amenable number.

13628737 is a deficient number, since it is larger than the sum of its proper divisors (1).

13628737 is an equidigital number, since it uses as much as digits as its factorization.

13628737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 37.

The square root of 13628737 is about 3691.7119335073. The cubic root of 13628737 is about 238.8646432778.

It can be divided in two parts, 13628 and 737, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13628737 in words is "thirteen million, six hundred twenty-eight thousand, seven hundred thirty-seven".