35667 has 8 divisors (see below), whose sum is σ = 52880. Its totient is φ = 23760.

The previous prime is 35617. The next prime is 35671. The reversal of 35667 is 76653.

35667 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 not a de Polignac number, because 35667 - 2⁶ = 35603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1321 = 35667 / (3 + 5 + 6 + 6 + 7).

It is a Duffinian number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 35667.

It is not an unprimeable number, because it can be changed into a prime (35617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (6610).

2³⁵⁶⁶⁷ is an apocalyptic number.

35667 is a deficient number, since it is larger than the sum of its proper divisors (17213).

35667 is a wasteful number, since it uses less digits than its factorization.

35667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 35667 is about 188.8570888264. The cubic root of 35667 is about 32.9171475299.

The spelling of 35667 in words is "thirty-five thousand, six hundred sixty-seven".