127953305 has 24 divisors (see below), whose sum is σ = 165477912. Its totient is φ = 94943232.

The previous prime is 127953299. The next prime is 127953313. The reversal of 127953305 is 503359721.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21780889 + 106172416 = 4667^2 + 10304^2 .

It is not a de Polignac number, because 127953305 - 2¹⁶ = 127887769 is a prime.

It is a super-5 number, since 5×127953305⁵ (a number of 42 digits) contains 55555 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104879 + ... + 106091.

It is an arithmetic number, because the mean of its divisors is an integer number (6894913).

Almost surely, 2^127953305 is an apocalyptic number.

It is an amenable number.

127953305 is a deficient number, since it is larger than the sum of its proper divisors (37524607).

127953305 is a wasteful number, since it uses less digits than its factorization.

127953305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 127953305 is about 11311.6446637967. The cubic root of 127953305 is about 503.9071291570.

The spelling of 127953305 in words is "one hundred twenty-seven million, nine hundred fifty-three thousand, three hundred five".