127479825 has 120 divisors (see below), whose sum is σ = 264670560. Its totient is φ = 60134400.

The previous prime is 127479811. The next prime is 127479829. The reversal of 127479825 is 528974721.

It is a happy number.

It is not a de Polignac number, because 127479825 - 2⁴ = 127479809 is a prime.

It is a super-2 number, since 2×127479825² = 32502211564061250, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127479829) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1314177 + ... + 1314273.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 2^127479825 is an apocalyptic number.

127479825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127479825 is an abundant number, since it is smaller than the sum of its proper divisors (137190735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127479825 is a wasteful number, since it uses less digits than its factorization.

127479825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 127479825 is about 11290.6963912772. The cubic root of 127479825 is about 503.2848061729.

The spelling of 127479825 in words is "one hundred twenty-seven million, four hundred seventy-nine thousand, eight hundred twenty-five".