71137 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 62160.

The previous prime is 71129. The next prime is 71143. The reversal of 71137 is 73117.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71137 - 2³ = 71129 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷¹¹³⁷ is an apocalyptic number.

It is an amenable number.

71137 is a deficient number, since it is larger than the sum of its proper divisors (9503).

71137 is a wasteful number, since it uses less digits than its factorization.

71137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its digits is 147, while the sum is 19.

The square root of 71137 is about 266.7152039161. The cubic root of 71137 is about 41.4347938109.

The spelling of 71137 in words is "seventy-one thousand, one hundred thirty-seven".