472105985 has 16 divisors (see below), whose sum is σ = 613283664. Its totient is φ = 346816512.

The previous prime is 472105967. The next prime is 472105999. The reversal of 472105985 is 589501274.

It is a Cunningham number, because it is equal to 21728²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 121705024 + 350400961 = 11032^2 + 18719^2 .

It is a cyclic number.

It is not a de Polignac number, because 472105985 - 2²⁰ = 471057409 is a prime.

It is a super-2 number, since 2×472105985² = 445768122145640450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6272 + ... + 31361.

It is an arithmetic number, because the mean of its divisors is an integer number (38330229).

Almost surely, 2^472105985 is an apocalyptic number.

472105985 is the 12545-th octagonal number.

It is an amenable number.

472105985 is a deficient number, since it is larger than the sum of its proper divisors (141177679).

472105985 is a wasteful number, since it uses less digits than its factorization.

472105985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37844.

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 472105985 is about 21728.0000230118. Note that the first 4 decimals coincide. The cubic root of 472105985 is about 778.6575555400.

The spelling of 472105985 in words is "four hundred seventy-two million, one hundred five thousand, nine hundred eighty-five".