71357 has 8 divisors (see below), whose sum is σ = 84000. Its totient is φ = 59760.

The previous prime is 71353. The next prime is 71359. The reversal of 71357 is 75317.

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 71357 - 2² = 71353 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71353) 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, 107 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2⁷¹³⁵⁷ is an apocalyptic number.

It is an amenable number.

71357 is a deficient number, since it is larger than the sum of its proper divisors (12643).

71357 is a wasteful number, since it uses less digits than its factorization.

71357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its digits is 735, while the sum is 23.

The square root of 71357 is about 267.1273104720. The cubic root of 71357 is about 41.4774639340.

The spelling of 71357 in words is "seventy-one thousand, three hundred fifty-seven".