4077 has 8 divisors (see below), whose sum is σ = 6080. Its totient is φ = 2700.

The previous prime is 4073. The next prime is 4079. The reversal of 4077 is 7704.

Added to its reverse (7704) it gives a triangular number (11781 = T₁₅₃).

4077 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 4077 - 2² = 4073 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8, base 9 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4077.

It is not an unprimeable number, because it can be changed into a prime (4073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (760).

It is an amenable number.

4077 is a deficient number, since it is larger than the sum of its proper divisors (2003).

4077 is a wasteful number, since it uses less digits than its factorization.

4077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 4077 is about 63.8513899614. The cubic root of 4077 is about 15.9752220648.

Adding to 4077 its sum of digits (18), we get a triangular number (4095 = T₉₀).

Adding to 4077 its reverse (7704), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 407 and 7, that added together give a palindrome (414).

The spelling of 4077 in words is "four thousand, seventy-seven", and thus it is an iban number.