35541 has 12 divisors (see below), whose sum is σ = 56160. Its totient is φ = 21480.

The previous prime is 35537. The next prime is 35543. The reversal of 35541 is 14553.

35541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35541 - 2² = 35537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35543) 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, 81 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2³⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

35541 is a deficient number, since it is larger than the sum of its proper divisors (20619).

35541 is a wasteful number, since it uses less digits than its factorization.

35541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 35541 is about 188.5232081204. The cubic root of 35541 is about 32.8783399094.

It can be divided in two parts, 35 and 541, that added together give a square (576 = 24²).

The spelling of 35541 in words is "thirty-five thousand, five hundred forty-one".