365105 has 16 divisors (see below), whose sum is σ = 486864. Its totient is φ = 261120.

The previous prime is 365089. The next prime is 365107. The reversal of 365105 is 501563.

It can be written as a sum of positive squares in 8 ways, for example, as 85264 + 279841 = 292^2 + 529^2 .

It is not a de Polignac number, because 365105 - 2⁴ = 365089 is a prime.

It is a super-2 number, since 2×365105² = 266603322050, which contains 22 as substring.

It is a Duffinian number.

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 365105.

It is not an unprimeable number, because it can be changed into a prime (365107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2³⁶⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

365105 is a deficient number, since it is larger than the sum of its proper divisors (121759).

365105 is a wasteful number, since it uses less digits than its factorization.

365105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 365105 is about 604.2391910494. The cubic root of 365105 is about 71.4725472060.

Subtracting from 365105 its sum of digits (20), we obtain a triangular number (365085 = T₈₅₄).

Adding to 365105 its reverse (501563), we get a palindrome (866668).

The spelling of 365105 in words is "three hundred sixty-five thousand, one hundred five".