10400249 has 2 divisors, whose sum is σ = 10400250. Its totient is φ = 10400248.

The previous prime is 10400231. The next prime is 10400261. The reversal of 10400249 is 94200401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9954025 + 446224 = 3155^2 + 668^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400249 - 2⁸ = 10399993 is a prime.

It is a super-3 number, since 3×10400249³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400249.

It is not a weakly prime, because it can be changed into another prime (10400449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200124 + 5200125.

It is an arithmetic number, because the mean of its divisors is an integer number (5200125).

Almost surely, 2^10400249 is an apocalyptic number.

It is an amenable number.

10400249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400249 is an equidigital number, since it uses as much as digits as its factorization.

10400249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10400249 is about 3224.9417048995. The cubic root of 10400249 is about 218.2803186293.

The spelling of 10400249 in words is "ten million, four hundred thousand, two hundred forty-nine".