127803025 has 81 divisors (see below), whose sum is σ = 206680689. Its totient is φ = 78140160.

The previous prime is 127803017. The next prime is 127803031. The reversal of 127803025 is 520308721.

The square root of 127803025 is 11305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2989441 + 124813584 = 1729^2 + 11172^2 .

It is not a de Polignac number, because 127803025 - 2³ = 127803017 is a prime.

It is a super-2 number, since 2×127803025² = 32667226398301250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127802984 and 127803002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6726466 + ... + 6726484.

Almost surely, 2^127803025 is an apocalyptic number.

127803025 is the 11305-th square number.

127803025 is the 5653-rd centered octagonal number.

It is an amenable number.

127803025 is a deficient number, since it is larger than the sum of its proper divisors (78877664).

127803025 is a wasteful number, since it uses less digits than its factorization.

127803025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The cubic root of 127803025 is about 503.7097737502.

The spelling of 127803025 in words is "one hundred twenty-seven million, eight hundred three thousand, twenty-five".