86551257 has 32 divisors (see below), whose sum is σ = 127233792. Its totient is φ = 52015104.

The previous prime is 86551249. The next prime is 86551259. The reversal of 86551257 is 75215568.

It is not a de Polignac number, because 86551257 - 2³ = 86551249 is a prime.

It is a super-2 number, since 2×86551257² = 14982240176560098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (86551259) 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 31 ways as a sum of consecutive naturals, for example, 518188 + ... + 518354.

It is an arithmetic number, because the mean of its divisors is an integer number (3976056).

Almost surely, 2^86551257 is an apocalyptic number.

It is an amenable number.

86551257 is a deficient number, since it is larger than the sum of its proper divisors (40682535).

86551257 is a wasteful number, since it uses less digits than its factorization.

86551257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its digits is 84000, while the sum is 39.

The square root of 86551257 is about 9303.2928041635. The cubic root of 86551257 is about 442.3416088608.

The spelling of 86551257 in words is "eighty-six million, five hundred fifty-one thousand, two hundred fifty-seven".