85954509 has 12 divisors (see below), whose sum is σ = 125552700. Its totient is φ = 56658624.

The previous prime is 85954487. The next prime is 85954511. The reversal of 85954509 is 90545958.

85954509 is a `hidden beast` number, since 8 + 595 + 4 + 50 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15444900 + 70509609 = 3930^2 + 8397^2 .

It is not a de Polignac number, because 85954509 - 2¹⁵ = 85921741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85954559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52854 + ... + 54455.

It is an arithmetic number, because the mean of its divisors is an integer number (10462725).

Almost surely, 2^85954509 is an apocalyptic number.

85954509 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

85954509 is a deficient number, since it is larger than the sum of its proper divisors (39598191).

85954509 is a wasteful number, since it uses less digits than its factorization.

85954509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107404 (or 107401 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 85954509 is about 9271.1654607174. The cubic root of 85954509 is about 441.3226540291.

The spelling of 85954509 in words is "eighty-five million, nine hundred fifty-four thousand, five hundred nine".