35361 has 6 divisors (see below), whose sum is σ = 51090. Its totient is φ = 23568.

The previous prime is 35353. The next prime is 35363. The reversal of 35361 is 16353.

35361 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 11025 = 156^2 + 105^2 .

It is not a de Polignac number, because 35361 - 2³ = 35353 is a prime.

35361 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (35363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1956 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (8515).

2³⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

35361 is a deficient number, since it is larger than the sum of its proper divisors (15729).

35361 is a wasteful number, since it uses less digits than its factorization.

35361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3932 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 35361 is about 188.0452073306. The cubic root of 35361 is about 32.8227410211.

It can be divided in two parts, 353 and 61, that added together give a palindrome (414).

The spelling of 35361 in words is "thirty-five thousand, three hundred sixty-one".