87461127 has 20 divisors (see below), whose sum is σ = 140703640. Its totient is φ = 53821584.

The previous prime is 87461119. The next prime is 87461131. The reversal of 87461127 is 72116478.

It is not a de Polignac number, because 87461127 - 2³ = 87461119 is a prime.

It is a super-2 number, since 2×87461127² = 15298897472220258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87461091 and 87461100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87461177) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 40477 + ... + 42582.

It is an arithmetic number, because the mean of its divisors is an integer number (7035182).

Almost surely, 2^87461127 is an apocalyptic number.

87461127 is a deficient number, since it is larger than the sum of its proper divisors (53242513).

87461127 is a wasteful number, since it uses less digits than its factorization.

87461127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83084 (or 83075 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 87461127 is about 9352.0653868544. The cubic root of 87461127 is about 443.8862473383.

It can be divided in two parts, 874 and 61127, that added together give a square (62001 = 249²).

The spelling of 87461127 in words is "eighty-seven million, four hundred sixty-one thousand, one hundred twenty-seven".