705004314 has 64 divisors (see below), whose sum is σ = 1710554112. Its totient is φ = 189100800.

The previous prime is 705004301. The next prime is 705004319. The reversal of 705004314 is 413400507.

It is a super-3 number, since 3×705004314³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (705004319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 349569 + ... + 351579.

It is an arithmetic number, because the mean of its divisors is an integer number (26727408).

Almost surely, 2^705004314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855277056).

705004314 is an abundant number, since it is smaller than the sum of its proper divisors (1005549798).

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

705004314 is a wasteful number, since it uses less digits than its factorization.

705004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 705004314 is about 26551.9173318990. The cubic root of 705004314 is about 890.0148606701.

The spelling of 705004314 in words is "seven hundred five million, four thousand, three hundred fourteen".