11077 has 8 divisors (see below), whose sum is σ = 12960. Its totient is φ = 9360.

The previous prime is 11071. The next prime is 11083. The reversal of 11077 is 77011.

It is a happy number.

11077 is digitally balanced in base 2 and base 3, because in such bases 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 (11071) and next prime (11083).

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 11077 - 2³ = 11069 is a prime.

It is a Duffinian number.

11077 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 11077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2¹¹⁰⁷⁷ is an apocalyptic number.

11077 is the 53-rd decagonal number.

It is an amenable number.

11077 is a deficient number, since it is larger than the sum of its proper divisors (1883).

11077 is a wasteful number, since it uses less digits than its factorization.

11077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 11077 is about 105.2473277571. The cubic root of 11077 is about 22.2915731598.

Adding to 11077 its reverse (77011), we get a palindrome (88088).

The spelling of 11077 in words is "eleven thousand, seventy-seven", and thus it is an iban number.