13975875 has 64 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 7200000.

The previous prime is 13975867. The next prime is 13975877. The reversal of 13975875 is 57857931.

13975875 = T₄₀₉ + T₄₁₀ + ... + T₅₃₃.

It is not a de Polignac number, because 13975875 - 2³ = 13975867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (264600) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 13975875.

It is not an unprimeable number, because it can be changed into a prime (13975877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138325 + ... + 138425.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^13975875 is an apocalyptic number.

13975875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13975875 is a deficient number, since it is larger than the sum of its proper divisors (12756285).

13975875 is a wasteful number, since it uses less digits than its factorization.

13975875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 13975875 is about 3738.4321580042. The cubic root of 13975875 is about 240.8757071015.

The spelling of 13975875 in words is "thirteen million, nine hundred seventy-five thousand, eight hundred seventy-five".