71761 has 2 divisors, whose sum is σ = 71762. Its totient is φ = 71760.

The previous prime is 71741. The next prime is 71777. The reversal of 71761 is 16717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 14161 = 240^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 71761 - 2⁷ = 71633 is a prime.

It is a super-2 number, since 2×71761² = 10299282242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35880 + 35881.

It is an arithmetic number, because the mean of its divisors is an integer number (35881).

2⁷¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

71761 is a deficient number, since it is larger than the sum of its proper divisors (1).

71761 is an equidigital number, since it uses as much as digits as its factorization.

71761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294, while the sum is 22.

The square root of 71761 is about 267.8824369010. The cubic root of 71761 is about 41.5555939493. Note that the first 4 decimals are identical.

The spelling of 71761 in words is "seventy-one thousand, seven hundred sixty-one".