982545984 has 224 divisors, whose sum is σ = 3416198400. Its totient is φ = 270950400.

The previous prime is 982545973. The next prime is 982546007. The reversal of 982545984 is 489545289.

It is a happy number.

982545984 is a `hidden beast` number, since 9 + 8 + 2 + 545 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×982545984² = 1930793221349056512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 982545984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349384 + ... + 352184.

Almost surely, 2^982545984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708099200).

982545984 is an abundant number, since it is smaller than the sum of its proper divisors (2433652416).

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

982545984 is a wasteful number, since it uses less digits than its factorization.

982545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2842 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 982545984 is about 31345.5895462185. The cubic root of 982545984 is about 994.1478133873.

The spelling of 982545984 in words is "nine hundred eighty-two million, five hundred forty-five thousand, nine hundred eighty-four".