35601 has 4 divisors (see below), whose sum is σ = 47472. Its totient is φ = 23732.

The previous prime is 35597. The next prime is 35603. The reversal of 35601 is 10653.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 35601 - 2² = 35597 is a prime.

It is a D-number.

35601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (35603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5931 + ... + 5936.

It is an arithmetic number, because the mean of its divisors is an integer number (11868).

2³⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

35601 is a deficient number, since it is larger than the sum of its proper divisors (11871).

35601 is a wasteful number, since it uses less digits than its factorization.

35601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11870.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 35601 is about 188.6822726172. The cubic root of 35601 is about 32.8968311481.

Subtracting from 35601 its product of nonzero digits (90), we obtain a triangular number (35511 = T₂₆₆).

It can be divided in two parts, 35 and 601, that added together give a palindrome (636).

The spelling of 35601 in words is "thirty-five thousand, six hundred one".