382241601 has 63 divisors (see below), whose sum is σ = 679833921. Its totient is φ = 206927784.

The previous prime is 382241599. The next prime is 382241609. The reversal of 382241601 is 106142283.

The square root of 382241601 is 19551.

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

382241601 is a `hidden beast` number, since 38 + 2 + 24 + 1 + 601 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 382241601 - 2¹ = 382241599 is a prime.

It is a super-2 number, since 2×382241601² = 292217283070086402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382241609) 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, 20117970 + ... + 20117988.

Almost surely, 2^382241601 is an apocalyptic number.

382241601 is the 19551-st square number.

382241601 is the 9776-th centered octagonal number.

It is an amenable number.

382241601 is a deficient number, since it is larger than the sum of its proper divisors (297592320).

382241601 is an frugal number, since it uses more digits than its factorization.

382241601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 382241601 is about 725.7370869145.

Multiplying 382241601 by its product of nonzero digits (2304), we get a square (880684648704 = 938448²).

Adding to 382241601 its reverse (106142283), we get a palindrome (488383884).

The spelling of 382241601 in words is "three hundred eighty-two million, two hundred forty-one thousand, six hundred one".