Number of the day: 1153

Properties of the number 1153:

1153 is a cyclic number.
1151 and 1153 form a twin prime pair.
1153 has 5 antidivisors and 1152 totatives.
1153 has a semiprime digit sum 10 in base 10.
1153 has a triangular digit sum 10 in base 10.
1153 has an emirpimes digit product 15 in base 10.
1153 has a triangular digit product 15 in base 10.
1153 has sum of divisors equal to 1154 which is an emirpimes.
Reversing the decimal digits of 1153 results in an emirp.
1153 = 577² - 576² is the difference of 2 nonnegative squares in 1 way.
1153 is the difference of 2 positive pentagonal numbers in 1 way.
1153 = 8² + 33² is the sum of 2 positive squares in 1 way.
1153 = 1² + 24² + 24² is the sum of 3 positive squares.
1153² = 528² + 1025² is the sum of 2 positive squares in 1 way.
1153² is the sum of 3 positive squares.
1153 is a proper divisor of 1013⁴ - 1.
1153 = '11' + '53' is the concatenation of 2 prime numbers.
1153 = '1' + '153' is the concatenation of 2 triangular numbers.
1153 is an emirp in (at least) the following bases: 2, 6, 7, 9, 10, 13, 26, 29, 30, 31, 34, 35, 39, 41, 43, 46, 49, 50, 53, 57, 59, 61, 65, 66, 71, 79, 81, 85, 86, 89, 91, and 97.
1153 is palindromic in (at least) the following bases: 11, 14, 32, -23, -36, -48, -64, -72, and -96.
1153 in base 11 = 959 and consists of only the digits '5' and '9'.
1153 in base 14 = 5c5 and consists of only the digits '5' and 'c'.
1153 in base 19 = 33d and consists of only the digits '3' and 'd'.
1153 in base 31 = 166 and consists of only the digits '1' and '6'.
1153 in base 32 = 141 and consists of only the digits '1' and '4'.
1153 in base 33 = 11v and consists of only the digits '1' and 'v'.

The number 1153 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005109: Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.
A005383: Numbers n such that both n and (n+1)/2 are primes.
A006450: Prime-indexed primes: primes with prime subscripts.
A006512: Greater of twin primes.
A006567: Emirps (primes whose reversal is a different prime).
A007519: Primes of form 8n+1, that is, primes congruent to 1 mod 8.
A058331: a(n) = 2*n^2 + 1.
A068228: Primes congruent to 1 (mod 12).
A160120: Y-toothpick sequence (see Comments lines for definition).
A235394: Primes whose decimal representation is a valid number in base 8 and interpreted as such is again a prime.