87257601 has 16 divisors (see below), whose sum is σ = 129539520. Its totient is φ = 58050720.

The previous prime is 87257593. The next prime is 87257603. The reversal of 87257601 is 10675278.

87257601 is a `hidden beast` number, since 87 + 2 + 576 + 0 + 1 = 666.

It is not a de Polignac number, because 87257601 - 2³ = 87257593 is a prime.

It is a super-2 number, since 2×87257601² = 15227777864550402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87257603) 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 15 ways as a sum of consecutive naturals, for example, 10966 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (8096220).

Almost surely, 2^87257601 is an apocalyptic number.

It is an amenable number.

87257601 is a deficient number, since it is larger than the sum of its proper divisors (42281919).

87257601 is a wasteful number, since it uses less digits than its factorization.

87257601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87257601 is about 9341.1777094754. The cubic root of 87257601 is about 443.5416654531.

The spelling of 87257601 in words is "eighty-seven million, two hundred fifty-seven thousand, six hundred one".