365958 has 28 divisors (see below), whose sum is σ = 826308. Its totient is φ = 121500.

The previous prime is 365941. The next prime is 365969. The reversal of 365958 is 859563.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

365958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1333 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (29511).

365958 is a Friedman number, since it can be written as 6*(9^5+8*3^5), using all its digits and the basic arithmetic operations.

2³⁶⁵⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413154).

365958 is an abundant number, since it is smaller than the sum of its proper divisors (460350).

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

365958 is an equidigital number, since it uses as much as digits as its factorization.

365958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 365958 is about 604.9446255650. The cubic root of 365958 is about 71.5281646911.

The spelling of 365958 in words is "three hundred sixty-five thousand, nine hundred fifty-eight".