365540 has 36 divisors (see below), whose sum is σ = 895356. Its totient is φ = 124992.

The previous prime is 365537. The next prime is 365557. The reversal of 365540 is 45563.

365540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164836 + 200704 = 406^2 + 448^2 .

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365540.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (24871).

2³⁶⁵⁵⁴⁰ 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 365540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447678).

365540 is an abundant number, since it is smaller than the sum of its proper divisors (529816).

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

365540 is a wasteful number, since it uses less digits than its factorization.

365540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 365540 is about 604.5990406873. The cubic root of 365540 is about 71.5009209786.

Adding to 365540 its sum of digits (23), we get a palindrome (365563).

The spelling of 365540 in words is "three hundred sixty-five thousand, five hundred forty".