386083201 has 15 divisors (see below), whose sum is σ = 451529603. Its totient is φ = 330103200.

The previous prime is 386083169. The next prime is 386083219. The reversal of 386083201 is 102380683.

The square root of 386083201 is 19649.

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., 382241601 + 3841600 = 19551^2 + 1960^2 .

It is not a de Polignac number, because 386083201 - 2⁵ = 386083169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (386083241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 962601 + ... + 963001.

Almost surely, 2^386083201 is an apocalyptic number.

386083201 is the 19649-th square number.

386083201 is the 9825-th centered octagonal number.

It is an amenable number.

386083201 is a deficient number, since it is larger than the sum of its proper divisors (65446402).

386083201 is an frugal number, since it uses more digits than its factorization.

386083201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 386083201 is about 728.1602519505.

The spelling of 386083201 in words is "three hundred eighty-six million, eighty-three thousand, two hundred one".