127997505 has 24 divisors (see below), whose sum is σ = 234914472. Its totient is φ = 64249344.

The previous prime is 127997479. The next prime is 127997521. The reversal of 127997505 is 505799721.

It can be written as a sum of positive squares in 4 ways, for example, as 71927361 + 56070144 = 8481^2 + 7488^2 .

It is not a de Polignac number, because 127997505 - 2⁸ = 127997249 is a prime.

It is a super-2 number, since 2×127997505² = 32766722572450050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82894 + ... + 84423.

It is an arithmetic number, because the mean of its divisors is an integer number (9788103).

Almost surely, 2^127997505 is an apocalyptic number.

127997505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127997505 is a deficient number, since it is larger than the sum of its proper divisors (106916967).

127997505 is a wasteful number, since it uses less digits than its factorization.

127997505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167345 (or 167342 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 127997505 is about 11313.5982339837. The cubic root of 127997505 is about 503.9651454544.

The spelling of 127997505 in words is "one hundred twenty-seven million, nine hundred ninety-seven thousand, five hundred five".