127825 has 6 divisors (see below), whose sum is σ = 158534. Its totient is φ = 102240.

The previous prime is 127819. The next prime is 127837. The reversal of 127825 is 528721.

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 126736 = 33^2 + 356^2 .

It is not a de Polignac number, because 127825 - 2³ = 127817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 5113 = 127825 / (1 + 2 + 7 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2532 + ... + 2581.

2¹²⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

127825 is a deficient number, since it is larger than the sum of its proper divisors (30709).

127825 is an equidigital number, since it uses as much as digits as its factorization.

127825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5118 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 127825 is about 357.5262228145. The cubic root of 127825 is about 50.3738642102.

The spelling of 127825 in words is "one hundred twenty-seven thousand, eight hundred twenty-five".