395970201 has 63 divisors (see below), whose sum is σ = 662446533. Its totient is φ = 236400120.

The previous prime is 395970149. The next prime is 395970217. The reversal of 395970201 is 102079593.

The square root of 395970201 is 19899.

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

It is not a de Polignac number, because 395970201 - 2¹⁹ = 395445913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395970271) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5909970 + ... + 5910036.

Almost surely, 2^395970201 is an apocalyptic number.

395970201 is the 19899-th square number.

395970201 is the 9950-th centered octagonal number.

It is an amenable number.

395970201 is a deficient number, since it is larger than the sum of its proper divisors (266476332).

395970201 is an frugal number, since it uses more digits than its factorization.

395970201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The cubic root of 395970201 is about 734.3236259966.

Multiplying 395970201 by its sum of digits (36), we get a square (14254927236 = 119394²).

It can be divided in two parts, 39 and 5970201, that added together give a triangular number (5970240 = T₃₄₅₅).

The spelling of 395970201 in words is "three hundred ninety-five million, nine hundred seventy thousand, two hundred one".