40849 has 2 divisors, whose sum is σ = 40850. Its totient is φ = 40848.

The previous prime is 40847. The next prime is 40853. The reversal of 40849 is 94804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37249 + 3600 = 193^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 40849 - 2¹ = 40847 is a prime.

Together with 40847, it forms a pair of twin primes.

40849 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40849.

It is not a weakly prime, because it can be changed into another prime (40841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20424 + 20425.

It is an arithmetic number, because the mean of its divisors is an integer number (20425).

2⁴⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

40849 is a deficient number, since it is larger than the sum of its proper divisors (1).

40849 is an equidigital number, since it uses as much as digits as its factorization.

40849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40849 is about 202.1113554455. Note that the first 3 decimals coincide. The cubic root of 40849 is about 34.4397885563.

The spelling of 40849 in words is "forty thousand, eight hundred forty-nine".