10705984 has 21 divisors (see below), whose sum is σ = 21296757. Its totient is φ = 5339904.

The previous prime is 10705967. The next prime is 10705993. The reversal of 10705984 is 48950701.

It is a happy number.

The square root of 10705984 is 3272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9784384 + 921600 = 3128^2 + 960^2 .

It is a super-2 number, since 2×10705984² = 229236186816512, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25972 + ... + 26380.

Almost surely, 2^10705984 is an apocalyptic number.

10705984 is the 3272-nd square number.

It is an amenable number.

10705984 is a deficient number, since it is larger than the sum of its proper divisors (10590773).

10705984 is an frugal number, since it uses more digits than its factorization.

10705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 10705984 is about 220.3986161575.

The spelling of 10705984 in words is "ten million, seven hundred five thousand, nine hundred eighty-four".