705121000 has 64 divisors (see below), whose sum is σ = 1665378000. Its totient is φ = 279417600.

The previous prime is 705120973. The next prime is 705121037. The reversal of 705121000 is 121507.

It can be written as a sum of positive squares in 8 ways, for example, as 6084 + 705114916 = 78^2 + 26554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105766 + ... + 112234.

Almost surely, 2^705121000 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 705121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832689000).

705121000 is an abundant number, since it is smaller than the sum of its proper divisors (960257000).

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

705121000 is a wasteful number, since it uses less digits than its factorization.

705121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 705121000 is about 26554.1145587647. The cubic root of 705121000 is about 890.0639603909.

Adding to 705121000 its reverse (121507), we get a palindrome (705242507).

The spelling of 705121000 in words is "seven hundred five million, one hundred twenty-one thousand".