127164505 has 32 divisors (see below), whose sum is σ = 175349664. Its totient is φ = 87699456.

The previous prime is 127164503. The next prime is 127164509. The reversal of 127164505 is 505461721.

It can be written as a sum of positive squares in 16 ways, for example, as 11042329 + 116122176 = 3323^2 + 10776^2 .

It is not a de Polignac number, because 127164505 - 2¹ = 127164503 is a prime.

It is a super-2 number, since 2×127164505² = 32341622663790050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127164503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173119 + ... + 173851.

It is an arithmetic number, because the mean of its divisors is an integer number (5479677).

Almost surely, 2^127164505 is an apocalyptic number.

It is an amenable number.

127164505 is a deficient number, since it is larger than the sum of its proper divisors (48185159).

127164505 is a wasteful number, since it uses less digits than its factorization.

127164505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 127164505 is about 11276.7240367050. The cubic root of 127164505 is about 502.8695070219.

The spelling of 127164505 in words is "one hundred twenty-seven million, one hundred sixty-four thousand, five hundred five".