71261 has 2 divisors, whose sum is σ = 71262. Its totient is φ = 71260.

The previous prime is 71257. The next prime is 71263. The reversal of 71261 is 16217.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 11236 = 245^2 + 106^2 .

It is an emirp because it is prime and its reverse (16217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71261 - 2² = 71257 is a prime.

Together with 71263, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₀₅₅ and since 71261 and 7055 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35630 + 35631.

It is an arithmetic number, because the mean of its divisors is an integer number (35631).

2⁷¹²⁶¹ is an apocalyptic number.

It is an amenable number.

71261 is a deficient number, since it is larger than the sum of its proper divisors (1).

71261 is an equidigital number, since it uses as much as digits as its factorization.

71261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 17.

The square root of 71261 is about 266.9475603934. The cubic root of 71261 is about 41.4588550448.

Adding to 71261 its reverse (16217), we get a palindrome (87478).

The spelling of 71261 in words is "seventy-one thousand, two hundred sixty-one".