1275 has 12 divisors (see below), whose sum is σ = 2232. Its totient is φ = 640.

The previous prime is 1259. The next prime is 1277. The reversal of 1275 is 5721.

It is a happy number.

1275 is nontrivially palindromic in base 11.

1275 is a nontrivial binomial coefficient, being equal to C(51, 2).

It is not a de Polignac number, because 1275 - 2⁴ = 1259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1275 is an undulating number in base 11.

1275 is a lucky number.

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (186).

1275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1275 is the 50-th triangular number.

1275 is a deficient number, since it is larger than the sum of its proper divisors (957).

1275 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1274) it forms an eRAP, since the sums of their prime factors are consecutive (29 and 30).

1275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 25 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 1275 is about 35.7071421427. The cubic root of 1275 is about 10.8435144263.

Adding to 1275 its reverse (5721), we get a palindrome (6996).

It can be divided in two parts, 12 and 75, that multiplied together give a square (900 = 30²).

The spelling of 1275 in words is "one thousand, two hundred seventy-five".