13537971 has 12 divisors (see below), whose sum is σ = 19650280. Its totient is φ = 8981280.

The previous prime is 13537957. The next prime is 13537973. The reversal of 13537971 is 17973531.

It is not a de Polignac number, because 13537971 - 2⁶ = 13537907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13537973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666 + ... + 5463.

Almost surely, 2^13537971 is an apocalyptic number.

13537971 is a deficient number, since it is larger than the sum of its proper divisors (6112309).

13537971 is a wasteful number, since it uses less digits than its factorization.

13537971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7343 counting only the distinct ones).

The product of its digits is 19845, while the sum is 36.

The square root of 13537971 is about 3679.3981844862. The cubic root of 13537971 is about 238.3331903216. Note that the first 3 decimals are identical.

The spelling of 13537971 in words is "thirteen million, five hundred thirty-seven thousand, nine hundred seventy-one".