Number of the day: 5077

Properties of the number 5077:

5077 is a cyclic number.
5077 is the 678^th prime.
5077 has 13 antidivisors and 5076 totatives.
5077 has a prime digit sum 19 in base 10.
5077 has sum of divisors equal to 5078 which is an emirpimes.
Reversing the decimal digits of 5077 results in a sphenic number.
5077 = 2539² - 2538² is the difference of 2 nonnegative squares in 1 way.
5077 is the difference of 2 positive pentagonal numbers in 1 way.
5077 = 6² + 71² is the sum of 2 positive squares in 1 way.
5077 = 15² + 44² + 54² is the sum of 3 positive squares.
5077² = 852² + 5005² is the sum of 2 positive squares in 1 way.
5077² is the sum of 3 positive squares.
5077 is a proper divisor of 967²⁷ - 1.
5077 is an emirp in (at least) the following bases: 3, 7, 8, 16, 33, 38, 40, 49, 51, 52, 56, 57, 58, 59, 61, 68, 69, 75, 79, 80, 81, 82, 83, 86, 91, 92, 97, and 98.
5077 is palindromic in (at least) the following bases: 26, 54, -12, -43, and -94.
5077 in base 22 = aah and consists of only the digits 'a' and 'h'.
5077 in base 26 = 7d7 and consists of only the digits '7' and 'd'.
5077 in base 53 = 1gg and consists of only the digits '1' and 'g'.
5077 in base 54 = 1e1 and consists of only the digits '1' and 'e'.

The number 5077 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A045711: Primes with first digit 5.
A052049: a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.
A054552: a(n) = 4*n^2 - 3*n + 1.
A075586: Primes p(k) such that the number of distinct prime divisors of all composite numbers between p(k) and p(k+1) is 6.
A128345: Numbers n such that (8^n - 5^n)/3 is prime.
A141978: Primes congruent to 2 mod 29.
A168022: Noncomposite numbers in the eastern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.
A229694: T(n,k)=Number of defective 3-colorings of an nXk 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order
A240130: Least prime of the form prime(n)^2 + k^2, or 0 if none.
A255027: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1