642673201 has 9 divisors (see below), whose sum is σ = 651695659. Its totient is φ = 633775000.

The previous prime is 642673139. The next prime is 642673243. The reversal of 642673201 is 102376246.

The square root of 642673201 is 25351.

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., 617472801 + 25200400 = 24849^2 + 5020^2 .

It is not a de Polignac number, because 642673201 - 2¹⁵ = 642640433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642673001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2560326 + ... + 2560576.

Almost surely, 2^642673201 is an apocalyptic number.

642673201 is the 25351-st square number.

642673201 is the 12676-th centered octagonal number.

It is an amenable number.

642673201 is a deficient number, since it is larger than the sum of its proper divisors (9022458).

642673201 is an frugal number, since it uses more digits than its factorization.

642673201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 642673201 is about 862.9720503841.

The spelling of 642673201 in words is "six hundred forty-two million, six hundred seventy-three thousand, two hundred one".