71337 has 16 divisors (see below), whose sum is σ = 112640. Its totient is φ = 39312.

The previous prime is 71333. The next prime is 71339. The reversal of 71337 is 73317.

It is not a de Polignac number, because 71337 - 2² = 71333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71337.

It is not an unprimeable number, because it can be changed into a prime (71333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (7040).

2⁷¹³³⁷ is an apocalyptic number.

It is an amenable number.

71337 is a deficient number, since it is larger than the sum of its proper divisors (41303).

71337 is a wasteful number, since it uses less digits than its factorization.

71337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its digits is 441, while the sum is 21.

The square root of 71337 is about 267.0898725149. The cubic root of 71337 is about 41.4735884591.

It can be divided in two parts, 7133 and 7, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 71337 in words is "seventy-one thousand, three hundred thirty-seven".