85846365 has 32 divisors (see below), whose sum is σ = 166492800. Its totient is φ = 41621760.

The previous prime is 85846349. The next prime is 85846381. The reversal of 85846365 is 56364858.

85846365 is a `hidden beast` number, since 8 + 5 + 8 + 4 + 636 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85846349) and next prime (85846381).

It is not a de Polignac number, because 85846365 - 2⁴ = 85846349 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85846365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27420 + ... + 30389.

It is an arithmetic number, because the mean of its divisors is an integer number (5202900).

Almost surely, 2^85846365 is an apocalyptic number.

It is an amenable number.

85846365 is a deficient number, since it is larger than the sum of its proper divisors (80646435).

85846365 is a wasteful number, since it uses less digits than its factorization.

85846365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57834 (or 57828 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85846365 is about 9265.3313486351. The cubic root of 85846365 is about 441.1374924152.

The spelling of 85846365 in words is "eighty-five million, eight hundred forty-six thousand, three hundred sixty-five".