85537657 has 2 divisors, whose sum is σ = 85537658. Its totient is φ = 85537656.

The previous prime is 85537589. The next prime is 85537663. The reversal of 85537657 is 75673558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84107241 + 1430416 = 9171^2 + 1196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85537657 is a prime.

It is not a weakly prime, because it can be changed into another prime (85537157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42768828 + 42768829.

It is an arithmetic number, because the mean of its divisors is an integer number (42768829).

Almost surely, 2^85537657 is an apocalyptic number.

It is an amenable number.

85537657 is a deficient number, since it is larger than the sum of its proper divisors (1).

85537657 is an equidigital number, since it uses as much as digits as its factorization.

85537657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882000, while the sum is 46.

The square root of 85537657 is about 9248.6570376461. The cubic root of 85537657 is about 440.6080728336.

The spelling of 85537657 in words is "eighty-five million, five hundred thirty-seven thousand, six hundred fifty-seven".