13734257 has 4 divisors (see below), whose sum is σ = 13742580. Its totient is φ = 13725936.

The previous prime is 13734223. The next prime is 13734307. The reversal of 13734257 is 75243731.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 781456 + 12952801 = 884^2 + 3599^2 .

It is a cyclic number.

It is not a de Polignac number, because 13734257 - 2¹⁰ = 13733233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13784257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (3435645).

Almost surely, 2^13734257 is an apocalyptic number.

It is an amenable number.

13734257 is a deficient number, since it is larger than the sum of its proper divisors (8323).

13734257 is an equidigital number, since it uses as much as digits as its factorization.

13734257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322.

The product of its digits is 17640, while the sum is 32.

The square root of 13734257 is about 3705.9758498943. The cubic root of 13734257 is about 239.4795260296.

Adding to 13734257 its reverse (75243731), we get a palindrome (88977988).

The spelling of 13734257 in words is "thirteen million, seven hundred thirty-four thousand, two hundred fifty-seven".