86131945 has 16 divisors (see below), whose sum is σ = 109933200. Its totient is φ = 64559104.

The previous prime is 86131933. The next prime is 86131957. The reversal of 86131945 is 54913168.

It is an interprime number because it is at equal distance from previous prime (86131933) and next prime (86131957).

It can be written as a sum of positive squares in 8 ways, for example, as 13046544 + 73085401 = 3612^2 + 8549^2 .

It is a cyclic number.

It is not a de Polignac number, because 86131945 - 2⁹ = 86131433 is a prime.

It is an unprimeable number.

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, 17631 + ... + 21979.

It is an arithmetic number, because the mean of its divisors is an integer number (6870825).

Almost surely, 2^86131945 is an apocalyptic number.

86131945 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86131945 is a deficient number, since it is larger than the sum of its proper divisors (23801255).

86131945 is a wasteful number, since it uses less digits than its factorization.

86131945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604.

The product of its digits is 25920, while the sum is 37.

The square root of 86131945 is about 9280.7297665647. The cubic root of 86131945 is about 441.6261196114.

The spelling of 86131945 in words is "eighty-six million, one hundred thirty-one thousand, nine hundred forty-five".