713005984 has 24 divisors (see below), whose sum is σ = 1441671588. Its totient is φ = 346867200.

The previous prime is 713005963. The next prime is 713006023. The reversal of 713005984 is 489500317.

It can be written as a sum of positive squares in 2 ways, for example, as 476461584 + 236544400 = 21828^2 + 15380^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299917 + ... + 302284.

Almost surely, 2^713005984 is an apocalyptic number.

713005984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

713005984 is an abundant number, since it is smaller than the sum of its proper divisors (728665604).

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

713005984 is a wasteful number, since it uses less digits than its factorization.

713005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602248 (or 602240 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 713005984 is about 26702.1718966829. The cubic root of 713005984 is about 893.3693700965.

It can be divided in two parts, 71300 and 5984, that added together give a square (77284 = 278²).

The spelling of 713005984 in words is "seven hundred thirteen million, five thousand, nine hundred eighty-four".