197145984 has 128 divisors (see below), whose sum is σ = 607495680. Its totient is φ = 55480320.

The previous prime is 197145979. The next prime is 197145997. The reversal of 197145984 is 489541791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190332 + ... + 191364.

It is an arithmetic number, because the mean of its divisors is an integer number (4746060).

Almost surely, 2^197145984 is an apocalyptic number.

197145984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303747840).

197145984 is an abundant number, since it is smaller than the sum of its proper divisors (410349696).

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

197145984 is a wasteful number, since it uses less digits than its factorization.

197145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 197145984 is about 14040.8683492154. The cubic root of 197145984 is about 582.0084787560.

The spelling of 197145984 in words is "one hundred ninety-seven million, one hundred forty-five thousand, nine hundred eighty-four".