10077337 has 2 divisors, whose sum is σ = 10077338. Its totient is φ = 10077336.

The previous prime is 10077329. The next prime is 10077343. The reversal of 10077337 is 73377001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7241481 + 2835856 = 2691^2 + 1684^2 .

It is an emirp because it is prime and its reverse (73377001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10077337 - 2³ = 10077329 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10077037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038668 + 5038669.

It is an arithmetic number, because the mean of its divisors is an integer number (5038669).

Almost surely, 2^10077337 is an apocalyptic number.

It is an amenable number.

10077337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077337 is an equidigital number, since it uses as much as digits as its factorization.

10077337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3087, while the sum is 28.

The square root of 10077337 is about 3174.4821624952. The cubic root of 10077337 is about 215.9974350976.

The spelling of 10077337 in words is "ten million, seventy-seven thousand, three hundred thirty-seven".