86004953 has 8 divisors (see below), whose sum is σ = 87196872. Its totient is φ = 84819456.

The previous prime is 86004931. The next prime is 86004959. The reversal of 86004953 is 35940068.

It can be written as a sum of positive squares in 4 ways, for example, as 4048144 + 81956809 = 2012^2 + 9053^2 .

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 86004953 - 2¹⁶ = 85939417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86004959) 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 7 ways as a sum of consecutive naturals, for example, 29351 + ... + 32147.

It is an arithmetic number, because the mean of its divisors is an integer number (10899609).

Almost surely, 2^86004953 is an apocalyptic number.

It is an amenable number.

86004953 is a deficient number, since it is larger than the sum of its proper divisors (1191919).

86004953 is a wasteful number, since it uses less digits than its factorization.

86004953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 86004953 is about 9273.8855395136. The cubic root of 86004953 is about 441.4089699446.

The spelling of 86004953 in words is "eighty-six million, four thousand, nine hundred fifty-three".