647537085 has 80 divisors (see below), whose sum is σ = 1293470640. Its totient is φ = 307722240.

The previous prime is 647537071. The next prime is 647537161. The reversal of 647537085 is 580735746.

647537085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3849444 + 643687641 = 1962^2 + 25371^2 .

It is not a de Polignac number, because 647537085 - 2⁵ = 647537053 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 647537085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150565 + ... + 154805.

It is an arithmetic number, because the mean of its divisors is an integer number (16168383).

Almost surely, 2^647537085 is an apocalyptic number.

647537085 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

647537085 is a deficient number, since it is larger than the sum of its proper divisors (645933555).

647537085 is a wasteful number, since it uses less digits than its factorization.

647537085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 647537085 is about 25446.7499889475. The cubic root of 647537085 is about 865.1436316892.

The spelling of 647537085 in words is "six hundred forty-seven million, five hundred thirty-seven thousand, eighty-five".