361647 has 24 divisors (see below), whose sum is σ = 615888. Its totient is φ = 201600.

The previous prime is 361643. The next prime is 361649. The reversal of 361647 is 746163.

361647 is a `hidden beast` number, since 3 + 616 + 47 = 666.

It is not a de Polignac number, because 361647 - 2² = 361643 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 361647.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361647.

It is not an unprimeable number, because it can be changed into a prime (361643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (25662).

2³⁶¹⁶⁴⁷ is an apocalyptic number.

361647 is a deficient number, since it is larger than the sum of its proper divisors (254241).

361647 is a wasteful number, since it uses less digits than its factorization.

361647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 361647 is about 601.3709337838. The cubic root of 361647 is about 71.2461863148.

It can be divided in two parts, 3616 and 47, that added together give a palindrome (3663).

The spelling of 361647 in words is "three hundred sixty-one thousand, six hundred forty-seven".