653985 has 12 divisors (see below), whose sum is σ = 1133652. Its totient is φ = 348768.

The previous prime is 653977. The next prime is 653993. The reversal of 653985 is 589356.

It is an interprime number because it is at equal distance from previous prime (653977) and next prime (653993).

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 349281 = 552^2 + 591^2 .

It is not a de Polignac number, because 653985 - 2³ = 653977 is a prime.

653985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7222 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (94471).

2⁶⁵³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

653985 is a deficient number, since it is larger than the sum of its proper divisors (479667).

653985 is a wasteful number, since it uses less digits than its factorization.

653985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14544 (or 14541 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 653985 is about 808.6933905999. The cubic root of 653985 is about 86.8005737325.

The spelling of 653985 in words is "six hundred fifty-three thousand, nine hundred eighty-five".