364905 has 40 divisors (see below), whose sum is σ = 705672. Its totient is φ = 179712.

The previous prime is 364891. The next prime is 364909. The reversal of 364905 is 509463.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110889 + 254016 = 333^2 + 504^2 .

It is not a de Polignac number, because 364905 - 2⁵ = 364873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3³ + 6⁷ + 9⁴ + 4⁴ + 0 + 5⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364905.

It is not an unprimeable number, because it can be changed into a prime (364909) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6859 + ... + 6911.

2³⁶⁴⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

364905 is a deficient number, since it is larger than the sum of its proper divisors (340767).

364905 is a wasteful number, since it uses less digits than its factorization.

364905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 364905 is about 604.0736710038. The cubic root of 364905 is about 71.4594942300.

The spelling of 364905 in words is "three hundred sixty-four thousand, nine hundred five".