10077977 has 18 divisors (see below), whose sum is σ = 12704958. Its totient is φ = 7967232.

The previous prime is 10077971. The next prime is 10077983. The reversal of 10077977 is 77977001.

10077977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10077971) and next prime (10077983).

It can be written as a sum of positive squares in 3 ways, for example, as 67081 + 10010896 = 259^2 + 3164^2 .

It is not a de Polignac number, because 10077977 - 2⁸ = 10077721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10077977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7673 + ... + 8889.

It is an arithmetic number, because the mean of its divisors is an integer number (705831).

Almost surely, 2^10077977 is an apocalyptic number.

It is an amenable number.

10077977 is a deficient number, since it is larger than the sum of its proper divisors (2626981).

10077977 is a wasteful number, since it uses less digits than its factorization.

10077977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 38.

The square root of 10077977 is about 3174.5829647373. The cubic root of 10077977 is about 216.0020075831.

The spelling of 10077977 in words is "ten million, seventy-seven thousand, nine hundred seventy-seven".