127253 has 10 divisors (see below), whose sum is σ = 151254. Its totient is φ = 107016.

The previous prime is 127249. The next prime is 127261. The reversal of 127253 is 352721.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 9604 = 343^2 + 98^2 .

It is not a de Polignac number, because 127253 - 2² = 127249 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (420) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127453) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2375 + ... + 2427.

127253 is a Friedman number, since it can be written as 53*7^(2+2*1), using all its digits and the basic arithmetic operations.

2¹²⁷²⁵³ is an apocalyptic number.

It is an amenable number.

127253 is a deficient number, since it is larger than the sum of its proper divisors (24001).

127253 is an frugal number, since it uses more digits than its factorization.

127253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 127253 is about 356.7253845747. The cubic root of 127253 is about 50.2986130546.

Adding to 127253 its reverse (352721), we get a palindrome (479974).

It can be divided in two parts, 127 and 253, that multiplied together give a triangular number (32131 = T₂₅₃).

The spelling of 127253 in words is "one hundred twenty-seven thousand, two hundred fifty-three".