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BaseRepresentation
bin100000011101
32211221
4200131
531302
613341
76025
oct4035
92757
102077
111619
121251
13c3a
14a85
15937
hex81d

2077 has 4 divisors (see below), whose sum is σ = 2176. Its totient is φ = 1980.

The previous prime is 2069. The next prime is 2081. The reversal of 2077 is 7702.

Adding to 2077 its reverse (7702), we get a palindrome (9779).

Subtracting 2077 from its reverse (7702), we obtain a square (5625 = 752).

It can be divided in two parts, 20 and 77, that multiplied together give a triangular number (1540 = T55).

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7702 = 23851.

It is a cyclic number.

It is not a de Polignac number, because 2077 - 23 = 2069 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017) 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, 3 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (544).

22077 is an apocalyptic number.

It is an amenable number.

2077 is a deficient number, since it is larger than the sum of its proper divisors (99).

2077 is an equidigital number, since it uses as much as digits as its factorization.

2077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 2077 is about 45.5741154604. The cubic root of 2077 is about 12.7588686215.

The spelling of 2077 in words is "two thousand, seventy-seven", and thus it is an iban number.

Divisors: 1 31 67 2077