820624201 has 8 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 816312528.

The previous prime is 820624163. The next prime is 820624213. The reversal of 820624201 is 102426028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820624201 - 2¹⁷ = 820493129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820624001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168600 + ... + 173398.

It is an arithmetic number, because the mean of its divisors is an integer number (103118400).

Almost surely, 2^820624201 is an apocalyptic number.

It is an amenable number.

820624201 is a deficient number, since it is larger than the sum of its proper divisors (4322999).

820624201 is a wasteful number, since it uses less digits than its factorization.

820624201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 820624201 is about 28646.5390754276. The cubic root of 820624201 is about 936.2276004488.

The spelling of 820624201 in words is "eight hundred twenty million, six hundred twenty-four thousand, two hundred one".