127058 has 16 divisors (see below), whose sum is σ = 209304. Its totient is φ = 57600.

The previous prime is 127051. The next prime is 127079. The reversal of 127058 is 850721.

127058 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 117649 + 9409 = 343^2 + 97^2 .

It is a super-2 number, since 2×127058² = 32287470728, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (127051) 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, 1208 + ... + 1308.

2¹²⁷⁰⁵⁸ is an apocalyptic number.

127058 is a deficient number, since it is larger than the sum of its proper divisors (82246).

127058 is a wasteful number, since it uses less digits than its factorization.

127058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 127058 is about 356.4519602976. The cubic root of 127058 is about 50.2729077174.

Adding to 127058 its reverse (850721), we get a palindrome (977779).

The spelling of 127058 in words is "one hundred twenty-seven thousand, fifty-eight".