13975 has 12 divisors (see below), whose sum is σ = 19096. Its totient is φ = 10080.

The previous prime is 13967. The next prime is 13997. The reversal of 13975 is 57931.

It is not a de Polignac number, because 13975 - 2³ = 13967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 346.

2¹³⁹⁷⁵ is an apocalyptic number.

13975 is a deficient number, since it is larger than the sum of its proper divisors (5121).

13975 is a wasteful number, since it uses less digits than its factorization.

13975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

The product of its digits is 945, while the sum is 25.

The square root of 13975 is about 118.2159041754. The cubic root of 13975 is about 24.0870680090.

Subtracting 13975 from its reverse (57931), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13975 in words is "thirteen thousand, nine hundred seventy-five".