35946 has 12 divisors (see below), whose sum is σ = 77922. Its totient is φ = 11976.

The previous prime is 35933. The next prime is 35951. The reversal of 35946 is 64953.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 225 = 189^2 + 15^2 .

It is a super-2 number, since 2×35946² = 2584229832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 981 + ... + 1016.

2³⁵⁹⁴⁶ is an apocalyptic number.

35946 is an abundant number, since it is smaller than the sum of its proper divisors (41976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35946 is a wasteful number, since it uses less digits than its factorization.

35946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 2002 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 35946 is about 189.5943037119. The cubic root of 35946 is about 33.0027545910.

It can be divided in two parts, 3594 and 6, that added together give a square (3600 = 60²).

The spelling of 35946 in words is "thirty-five thousand, nine hundred forty-six".