13813275 has 48 divisors (see below), whose sum is σ = 26498304. Its totient is φ = 6218880.

The previous prime is 13813237. The next prime is 13813297. The reversal of 13813275 is 57231831.

13813275 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 not a de Polignac number, because 13813275 - 2⁶ = 13813211 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43417 + ... + 43733.

It is an arithmetic number, because the mean of its divisors is an integer number (552048).

Almost surely, 2^13813275 is an apocalyptic number.

13813275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13813275 is a deficient number, since it is larger than the sum of its proper divisors (12685029).

13813275 is a wasteful number, since it uses less digits than its factorization.

13813275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13813275 is about 3716.6214496502. The cubic root of 13813275 is about 239.9379179701.

It can be divided in two parts, 1381 and 3275, that added together give a triangular number (4656 = T₉₆).

The spelling of 13813275 in words is "thirteen million, eight hundred thirteen thousand, two hundred seventy-five".