4000949 has 2 divisors, whose sum is σ = 4000950. Its totient is φ = 4000948.

The previous prime is 4000939. The next prime is 4000951. The reversal of 4000949 is 9490004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3972049 + 28900 = 1993^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000949 - 2⁸ = 4000693 is a prime.

It is a Sophie Germain prime.

Together with 4000951, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000474 + 2000475.

It is an arithmetic number, because the mean of its divisors is an integer number (2000475).

Almost surely, 2^4000949 is an apocalyptic number.

It is an amenable number.

4000949 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000949 is an equidigital number, since it uses as much as digits as its factorization.

4000949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4000949 is about 2000.2372359298. The cubic root of 4000949 is about 158.7526579008.

The spelling of 4000949 in words is "four million, nine hundred forty-nine", and thus it is an aban number.