10577977 has 2 divisors, whose sum is σ = 10577978. Its totient is φ = 10577976.

The previous prime is 10577971. The next prime is 10577981. The reversal of 10577977 is 77977501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6330256 + 4247721 = 2516^2 + 2061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577977 - 2³ = 10577969 is a prime.

It is a super-2 number, since 2×10577977² = 223787194825058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10577971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288988 + 5288989.

It is an arithmetic number, because the mean of its divisors is an integer number (5288989).

Almost surely, 2^10577977 is an apocalyptic number.

It is an amenable number.

10577977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577977 is an equidigital number, since it uses as much as digits as its factorization.

10577977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108045, while the sum is 43.

The square root of 10577977 is about 3252.3802053266. The cubic root of 10577977 is about 219.5166869318.

The spelling of 10577977 in words is "ten million, five hundred seventy-seven thousand, nine hundred seventy-seven".