364147201 has 18 divisors (see below), whose sum is σ = 418493810. Its totient is φ = 316594080.

The previous prime is 364147193. The next prime is 364147207. The reversal of 364147201 is 102741463.

It can be written as a sum of positive squares in only one way, i.e., 360050625 + 4096576 = 18975^2 + 2024^2 .

It is not a de Polignac number, because 364147201 - 2³ = 364147193 is a prime.

It is a super-2 number, since 2×364147201² = 265206367992268802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 364147201.

It is not an unprimeable number, because it can be changed into a prime (364147207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61165 + ... + 66853.

Almost surely, 2^364147201 is an apocalyptic number.

It is an amenable number.

364147201 is a deficient number, since it is larger than the sum of its proper divisors (54346609).

364147201 is a wasteful number, since it uses less digits than its factorization.

364147201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 364147201 is about 19082.6413528107. The cubic root of 364147201 is about 714.0999325272.

Adding to 364147201 its reverse (102741463), we get a palindrome (466888664).

The spelling of 364147201 in words is "three hundred sixty-four million, one hundred forty-seven thousand, two hundred one".