86585051 has 8 divisors (see below), whose sum is σ = 99109344. Its totient is φ = 74099520.

The previous prime is 86585021. The next prime is 86585053. The reversal of 86585051 is 15058568.

86585051 = 3514² + 3515² + ... + 3520².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86585051 - 2¹⁰ = 86584027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86584996 and 86585014.

It is not an unprimeable number, because it can be changed into a prime (86585053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4730 + ... + 13983.

It is an arithmetic number, because the mean of its divisors is an integer number (12388668).

Almost surely, 2^86585051 is an apocalyptic number.

86585051 is a deficient number, since it is larger than the sum of its proper divisors (12524293).

86585051 is a wasteful number, since it uses less digits than its factorization.

86585051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381.

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 86585051 is about 9305.1088655641. The cubic root of 86585051 is about 442.3991722350.

The spelling of 86585051 in words is "eighty-six million, five hundred eighty-five thousand, fifty-one".