13970 has 16 divisors (see below), whose sum is σ = 27648. Its totient is φ = 5040.

The previous prime is 13967. The next prime is 13997. The reversal of 13970 is 7931.

13970 = T₁₁ + T₁₂ + ... + T₄₃.

13970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹³⁹⁷⁰ is an apocalyptic number.

13970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13970 is a deficient number, since it is larger than the sum of its proper divisors (13678).

13970 is a wasteful number, since it uses less digits than its factorization.

13970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 13970 is about 118.1947545367. The cubic root of 13970 is about 24.0841950286.

It can be divided in two parts, 139 and 70, that multiplied together give a triangular number (9730 = T₁₃₉).

The spelling of 13970 in words is "thirteen thousand, nine hundred seventy".