84263985 has 96 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 37822464.

The previous prime is 84263969. The next prime is 84264001. The reversal of 84263985 is 58936248.

84263985 is a `hidden beast` number, since 8 + 4 + 2 + 639 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (84263969) and next prime (84264001).

It can be written as a sum of positive squares in 16 ways, for example, as 46656 + 84217329 = 216^2 + 9177^2 .

It is not a de Polignac number, because 84263985 - 2⁴ = 84263969 is a prime.

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 84263985.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367851 + ... + 368079.

It is an arithmetic number, because the mean of its divisors is an integer number (1789515).

Almost surely, 2^84263985 is an apocalyptic number.

84263985 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84263985 is an abundant number, since it is smaller than the sum of its proper divisors (87529455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84263985 is a wasteful number, since it uses less digits than its factorization.

84263985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 304 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84263985 is about 9179.5416552244. The cubic root of 84263985 is about 438.4102149245.

It can be divided in two parts, 842639 and 85, that added together give a square (842724 = 918²).

The spelling of 84263985 in words is "eighty-four million, two hundred sixty-three thousand, nine hundred eighty-five".