13771257 has 8 divisors (see below), whose sum is σ = 19328160. Its totient is φ = 8697600.

The previous prime is 13771243. The next prime is 13771267. The reversal of 13771257 is 75217731.

13771257 is digitally balanced in base 2 and base 4, because in such bases 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 13771257 - 2⁶ = 13771193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13771217) 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, 120744 + ... + 120857.

It is an arithmetic number, because the mean of its divisors is an integer number (2416020).

Almost surely, 2^13771257 is an apocalyptic number.

It is an amenable number.

13771257 is a deficient number, since it is larger than the sum of its proper divisors (5556903).

13771257 is a wasteful number, since it uses less digits than its factorization.

13771257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241623.

The product of its digits is 10290, while the sum is 33.

The square root of 13771257 is about 3710.9644299023. The cubic root of 13771257 is about 239.6943853026.

Adding to 13771257 its reverse (75217731), we get a palindrome (88988988).

It can be divided in two parts, 13771 and 257, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13771257 in words is "thirteen million, seven hundred seventy-one thousand, two hundred fifty-seven".