197964585 has 96 divisors (see below), whose sum is σ = 437149440. Its totient is φ = 80607744.

The previous prime is 197964583. The next prime is 197964619. The reversal of 197964585 is 585469791.

It is not a de Polignac number, because 197964585 - 2¹ = 197964583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (197964583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117922 + ... + 119588.

It is an arithmetic number, because the mean of its divisors is an integer number (4553640).

Almost surely, 2^197964585 is an apocalyptic number.

197964585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

197964585 is an abundant number, since it is smaller than the sum of its proper divisors (239184855).

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

197964585 is a wasteful number, since it uses less digits than its factorization.

197964585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1724 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 197964585 is about 14069.9888059657. The cubic root of 197964585 is about 582.8129161686.

It can be divided in two parts, 1979 and 64585, that added together give a square (66564 = 258²).

The spelling of 197964585 in words is "one hundred ninety-seven million, nine hundred sixty-four thousand, five hundred eighty-five".