405982201 has 3 divisors (see below), whose sum is σ = 406002351. Its totient is φ = 405962052.

The previous prime is 405982141. The next prime is 405982211. The reversal of 405982201 is 102289504.

The square root of 405982201 is 20149.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 186349801 + 219632400 = 13651^2 + 14820^2 .

It is not a de Polignac number, because 405982201 - 2²¹ = 403885049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405982211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10075 + ... + 30223.

It is an arithmetic number, because the mean of its divisors is an integer number (135334117).

Almost surely, 2^405982201 is an apocalyptic number.

405982201 is the 20149-th square number.

405982201 is the 10075-th centered octagonal number.

It is an amenable number.

405982201 is a deficient number, since it is larger than the sum of its proper divisors (20150).

405982201 is an frugal number, since it uses more digits than its factorization.

405982201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40298 (or 20149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 405982201 is about 740.4612421533.

The spelling of 405982201 in words is "four hundred five million, nine hundred eighty-two thousand, two hundred one".