127049 has 8 divisors (see below), whose sum is σ = 141960. Its totient is φ = 112896.

The previous prime is 127037. The next prime is 127051. The reversal of 127049 is 940721.

127049 = 57² + 58² + ... + 82².

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 126025 = 32^2 + 355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127049 - 2⁴ = 127033 is a prime.

It is a super-2 number, since 2×127049² = 32282896802, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127079) 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, 209 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2¹²⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

127049 is a deficient number, since it is larger than the sum of its proper divisors (14911).

127049 is a wasteful number, since it uses less digits than its factorization.

127049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 127049 is about 356.4393356519. The cubic root of 127049 is about 50.2717206825.

The spelling of 127049 in words is "one hundred twenty-seven thousand, forty-nine".