71961 has 12 divisors (see below), whose sum is σ = 103152. Its totient is φ = 44608.

The previous prime is 71947. The next prime is 71963. The reversal of 71961 is 16917.

71961 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 71961 - 2¹⁰ = 70937 is a prime.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (71963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (8596).

2⁷¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

71961 is a deficient number, since it is larger than the sum of its proper divisors (31191).

71961 is a wasteful number, since it uses less digits than its factorization.

71961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 378, while the sum is 24.

The square root of 71961 is about 268.2554752470. The cubic root of 71961 is about 41.5941636906.

It can be divided in two parts, 719 and 61, that added together give a triangular number (780 = T₃₉).

The spelling of 71961 in words is "seventy-one thousand, nine hundred sixty-one".