85616073 has 12 divisors (see below), whose sum is σ = 123800820. Its totient is φ = 57015936.

The previous prime is 85616059. The next prime is 85616087. The reversal of 85616073 is 37061658.

It is an interprime number because it is at equal distance from previous prime (85616059) and next prime (85616087).

It can be written as a sum of positive squares in 2 ways, for example, as 51883209 + 33732864 = 7203^2 + 5808^2 .

It is not a de Polignac number, because 85616073 - 2¹⁶ = 85550537 is a prime.

It is a super-2 number, since 2×85616073² = 14660223911882658, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85616023) 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 11 ways as a sum of consecutive naturals, for example, 4693 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (10316735).

Almost surely, 2^85616073 is an apocalyptic number.

It is an amenable number.

85616073 is a deficient number, since it is larger than the sum of its proper divisors (38184747).

85616073 is a wasteful number, since it uses less digits than its factorization.

85616073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85616073 is about 9252.8953846891. The cubic root of 85616073 is about 440.7426730833.

The spelling of 85616073 in words is "eighty-five million, six hundred sixteen thousand, seventy-three".