10077773 has 2 divisors, whose sum is σ = 10077774. Its totient is φ = 10077772.

The previous prime is 10077763. The next prime is 10077779. The reversal of 10077773 is 37777001.

10077773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6165289 + 3912484 = 2483^2 + 1978^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077773 - 2⁸ = 10077517 is a prime.

It is a Sophie Germain 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 (10077779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038886 + 5038887.

It is an arithmetic number, because the mean of its divisors is an integer number (5038887).

Almost surely, 2^10077773 is an apocalyptic number.

It is an amenable number.

10077773 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077773 is an equidigital number, since it uses as much as digits as its factorization.

10077773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7203, while the sum is 32.

The square root of 10077773 is about 3174.5508343701. The cubic root of 10077773 is about 216.0005501243. Note that the first 3 decimals are identical.

Adding to 10077773 its sum of digits (32), we get a triangular number (10077805 = T₄₄₈₉).

The spelling of 10077773 in words is "ten million, seventy-seven thousand, seven hundred seventy-three".