85508361 has 6 divisors (see below), whose sum is σ = 123512090. Its totient is φ = 57005568.

The previous prime is 85508347. The next prime is 85508387. The reversal of 85508361 is 16380558.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 518400 = 9219^2 + 720^2 .

It is not a de Polignac number, because 85508361 - 2¹⁰ = 85507337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85508321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4750456 + ... + 4750473.

Almost surely, 2^85508361 is an apocalyptic number.

It is an amenable number.

85508361 is a deficient number, since it is larger than the sum of its proper divisors (38003729).

85508361 is a wasteful number, since it uses less digits than its factorization.

85508361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500935 (or 9500932 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85508361 is about 9247.0731045018. The cubic root of 85508361 is about 440.5577654467.

The spelling of 85508361 in words is "eighty-five million, five hundred eight thousand, three hundred sixty-one".