13485737 has 2 divisors, whose sum is σ = 13485738. Its totient is φ = 13485736.

The previous prime is 13485721. The next prime is 13485739. The reversal of 13485737 is 73758431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6911641 + 6574096 = 2629^2 + 2564^2 .

It is a cyclic number.

It is not a de Polignac number, because 13485737 - 2⁴ = 13485721 is a prime.

Together with 13485739, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₈₇₈₇₇₁ and since 13485737 and 878771 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13485737.

It is not a weakly prime, because it can be changed into another prime (13485739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6742868 + 6742869.

It is an arithmetic number, because the mean of its divisors is an integer number (6742869).

Almost surely, 2^13485737 is an apocalyptic number.

It is an amenable number.

13485737 is a deficient number, since it is larger than the sum of its proper divisors (1).

13485737 is an equidigital number, since it uses as much as digits as its factorization.

13485737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 38.

The square root of 13485737 is about 3672.2931527861. The cubic root of 13485737 is about 238.0262723157.

The spelling of 13485737 in words is "thirteen million, four hundred eighty-five thousand, seven hundred thirty-seven".