35321 has 12 divisors (see below), whose sum is σ = 43920. Its totient is φ = 28080.

The previous prime is 35317. The next prime is 35323. The reversal of 35321 is 12353.

It is not a de Polignac number, because 35321 - 2² = 35317 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35296 and 35305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35321.

It is not an unprimeable number, because it can be changed into a prime (35323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1850 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2³⁵³²¹ is an apocalyptic number.

It is an amenable number.

35321 is a deficient number, since it is larger than the sum of its proper divisors (8599).

35321 is a wasteful number, since it uses less digits than its factorization.

35321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

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

The square root of 35321 is about 187.9388198324. The cubic root of 35321 is about 32.8103601023.

Multiplying 35321 by its sum of digits (14), we get a palindrome (494494).

Adding to 35321 its reverse (12353), we get a palindrome (47674).

The spelling of 35321 in words is "thirty-five thousand, three hundred twenty-one".