35967 has 8 divisors (see below), whose sum is σ = 50560. Its totient is φ = 22680.

The previous prime is 35963. The next prime is 35969. The reversal of 35967 is 76953.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 35967 - 2² = 35963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35963) 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, 259 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (6320).

2³⁵⁹⁶⁷ is an apocalyptic number.

35967 is a deficient number, since it is larger than the sum of its proper divisors (14593).

35967 is a wasteful number, since it uses less digits than its factorization.

35967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653.

The product of its digits is 5670, while the sum is 30.

The square root of 35967 is about 189.6496770364. The cubic root of 35967 is about 33.0091801824.

Subtracting from 35967 its sum of digits (30), we obtain a cube (35937 = 33³).

The spelling of 35967 in words is "thirty-five thousand, nine hundred sixty-seven".