365000 has 40 divisors (see below), whose sum is σ = 866910. Its totient is φ = 144000.

The previous prime is 364997. The next prime is 365003. The reversal of 365000 is 563.

It is a happy number.

365000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (364997) and next prime (365003).

It can be written as a sum of positive squares in 5 ways, for example, as 7396 + 357604 = 86^2 + 598^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (365003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4964 + ... + 5036.

2³⁶⁵⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433455).

365000 is an abundant number, since it is smaller than the sum of its proper divisors (501910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365000 is an equidigital number, since it uses as much as digits as its factorization.

365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 365000 is about 604.1522986797. The cubic root of 365000 is about 71.4656949882.

Adding to 365000 its reverse (563), we get a palindrome (365563).

It can be divided in two parts, 3 and 65000, that multiplied together give a triangular number (195000 = T₆₂₄).

The spelling of 365000 in words is "three hundred sixty-five thousand".