71849 has 2 divisors, whose sum is σ = 71850. Its totient is φ = 71848.

The previous prime is 71843. The next prime is 71861. The reversal of 71849 is 94817.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 25 = 268^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 71849 - 2⁸ = 71593 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (71843) 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 as a sum of consecutive naturals, namely, 35924 + 35925.

It is an arithmetic number, because the mean of its divisors is an integer number (35925).

2⁷¹⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

71849 is a deficient number, since it is larger than the sum of its proper divisors (1).

71849 is an equidigital number, since it uses as much as digits as its factorization.

71849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 71849 is about 268.0466377331. The cubic root of 71849 is about 41.5725734529.

It can be divided in two parts, 718 and 49, that added together give a palindrome (767).

The spelling of 71849 in words is "seventy-one thousand, eight hundred forty-nine".