10777117 has 8 divisors (see below), whose sum is σ = 11803680. Its totient is φ = 9778800.

The previous prime is 10777111. The next prime is 10777121. The reversal of 10777117 is 71177701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10777117 - 2⁷ = 10776989 is a prime.

It is a super-2 number, since 2×10777117² = 232292501663378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10777111) 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 in 7 ways as a sum of consecutive naturals, for example, 6259 + ... + 7792.

It is an arithmetic number, because the mean of its divisors is an integer number (1475460).

Almost surely, 2^10777117 is an apocalyptic number.

It is an amenable number.

10777117 is a deficient number, since it is larger than the sum of its proper divisors (1026563).

10777117 is a wasteful number, since it uses less digits than its factorization.

10777117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123.

The product of its (nonzero) digits is 2401, while the sum is 31.

The square root of 10777117 is about 3282.8519613287. The cubic root of 10777117 is about 220.8856652845.

The spelling of 10777117 in words is "ten million, seven hundred seventy-seven thousand, one hundred seventeen".