10007077 has 2 divisors, whose sum is σ = 10007078. Its totient is φ = 10007076.

The previous prime is 10007051. The next prime is 10007083. The reversal of 10007077 is 77070001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7834401 + 2172676 = 2799^2 + 1474^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007077 - 2¹⁵ = 9974309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003538 + 5003539.

It is an arithmetic number, because the mean of its divisors is an integer number (5003539).

Almost surely, 2^10007077 is an apocalyptic number.

It is an amenable number.

10007077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007077 is an equidigital number, since it uses as much as digits as its factorization.

10007077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 343, while the sum is 22.

The square root of 10007077 is about 3163.3964342143. The cubic root of 10007077 is about 215.4942801331.

Adding to 10007077 its reverse (77070001), we get a palindrome (87077078).

The spelling of 10007077 in words is "ten million, seven thousand, seventy-seven".