71965 has 8 divisors (see below), whose sum is σ = 88920. Its totient is φ = 55872.

The previous prime is 71963. The next prime is 71971. The reversal of 71965 is 56917.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11449 + 60516 = 107^2 + 246^2 .

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 71965 - 2¹ = 71963 is a prime.

It is a super-2 number, since 2×71965² = 10357922450, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71963) 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, 10 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2⁷¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

71965 is a deficient number, since it is larger than the sum of its proper divisors (16955).

71965 is a wasteful number, since it uses less digits than its factorization.

71965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its digits is 1890, while the sum is 28.

The square root of 71965 is about 268.2629307228. The cubic root of 71965 is about 41.5949343561.

It can be divided in two parts, 719 and 65, that added together give a square (784 = 28²).

The spelling of 71965 in words is "seventy-one thousand, nine hundred sixty-five".