85624537 has 2 divisors, whose sum is σ = 85624538. Its totient is φ = 85624536.

The previous prime is 85624531. The next prime is 85624571. The reversal of 85624537 is 73542658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80802121 + 4822416 = 8989^2 + 2196^2 .

It is a cyclic number.

It is not a de Polignac number, because 85624537 - 2¹⁵ = 85591769 is a prime.

It is a super-2 number, since 2×85624537² = 14663122672928738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85624537.

It is not a weakly prime, because it can be changed into another prime (85624531) 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 as a sum of consecutive naturals, namely, 42812268 + 42812269.

It is an arithmetic number, because the mean of its divisors is an integer number (42812269).

Almost surely, 2^85624537 is an apocalyptic number.

It is an amenable number.

85624537 is a deficient number, since it is larger than the sum of its proper divisors (1).

85624537 is an equidigital number, since it uses as much as digits as its factorization.

85624537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 40.

The square root of 85624537 is about 9253.3527437356. The cubic root of 85624537 is about 440.7571965364.

The spelling of 85624537 in words is "eighty-five million, six hundred twenty-four thousand, five hundred thirty-seven".