35661 has 4 divisors (see below), whose sum is σ = 47552. Its totient is φ = 23772.

The previous prime is 35617. The next prime is 35671. The reversal of 35661 is 16653.

35661 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 not a de Polignac number, because 35661 - 2⁶ = 35597 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35671) 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, 5941 + ... + 5946.

It is an arithmetic number, because the mean of its divisors is an integer number (11888).

2³⁵⁶⁶¹ is an apocalyptic number.

It is an amenable number.

35661 is a deficient number, since it is larger than the sum of its proper divisors (11891).

35661 is a wasteful number, since it uses less digits than its factorization.

35661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11890.

The product of its digits is 540, while the sum is 21.

The square root of 35661 is about 188.8412031311. The cubic root of 35661 is about 32.9153016223.

It can be divided in two parts, 35 and 661, that added together give a palindrome (696).

The spelling of 35661 in words is "thirty-five thousand, six hundred sixty-one".