365121 has 8 divisors (see below), whose sum is σ = 540960. Its totient is φ = 243396.

The previous prime is 365119. The next prime is 365129. The reversal of 365121 is 121563.

It is not a de Polignac number, because 365121 - 2¹ = 365119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 365094 and 365103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365121.

It is not an unprimeable number, because it can be changed into a prime (365129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6735 + ... + 6788.

It is an arithmetic number, because the mean of its divisors is an integer number (67620).

2³⁶⁵¹²¹ is an apocalyptic number.

It is an amenable number.

365121 is a deficient number, since it is larger than the sum of its proper divisors (175839).

365121 is a wasteful number, since it uses less digits than its factorization.

365121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532 (or 13526 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 365121 is about 604.2524306943. The cubic root of 365121 is about 71.4735912381.

Adding to 365121 its reverse (121563), we get a palindrome (486684).

The spelling of 365121 in words is "three hundred sixty-five thousand, one hundred twenty-one".