1077 has 4 divisors (see below), whose sum is σ = 1440. Its totient is φ = 716.

The previous prime is 1069. The next prime is 1087. The reversal of 1077 is 7701.

Added to its reverse (7701) it gives a triangular number (8778 = T_{132}).

1077 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1077 - 2^{3} = 1069 is a prime.

It is a D-number.

It is a plaindrome in base 11, base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

It is an amenable number.

1077 is a deficient number, since it is larger than the sum of its proper divisors (363).

1077 is an equidigital number, since it uses as much as digits as its factorization.

1077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 1077 is about 32.8176781628. The cubic root of 1077 is about 10.2503470039.

Adding to 1077 its reverse (7701), we get a palindrome (8778).

The spelling of 1077 in words is "one thousand, seventy-seven", and thus it is an iban number.

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