13735257 has 8 divisors (see below), whose sum is σ = 18343584. Its totient is φ = 9141888.

The previous prime is 13735247. The next prime is 13735261. The reversal of 13735257 is 75253731.

13735257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13735257 - 2¹⁸ = 13473113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13735217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383 + ... + 5420.

It is an arithmetic number, because the mean of its divisors is an integer number (2292948).

Almost surely, 2^13735257 is an apocalyptic number.

It is an amenable number.

13735257 is a deficient number, since it is larger than the sum of its proper divisors (4608327).

13735257 is an equidigital number, since it uses as much as digits as its factorization.

13735257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479.

The product of its digits is 22050, while the sum is 33.

The square root of 13735257 is about 3706.1107646696. The cubic root of 13735257 is about 239.4853381075.

Adding to 13735257 its reverse (75253731), we get a palindrome (88988988).

The spelling of 13735257 in words is "thirteen million, seven hundred thirty-five thousand, two hundred fifty-seven".