35966 has 12 divisors (see below), whose sum is σ = 62928. Its totient is φ = 15372.

The previous prime is 35963. The next prime is 35969. The reversal of 35966 is 66953.

It is an interprime number because it is at equal distance from previous prime (35963) and next prime (35969).

It is an Ulam number.

It is a Curzon 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 5 ways as a sum of consecutive naturals, for example, 86 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (5244).

2³⁵⁹⁶⁶ is an apocalyptic number.

35966 is a deficient number, since it is larger than the sum of its proper divisors (26962).

35966 is a wasteful number, since it uses less digits than its factorization.

35966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 35966 is about 189.6470405780. The cubic root of 35966 is about 33.0088742586.

Subtracting from 35966 its sum of digits (29), we obtain a cube (35937 = 33³).

It can be divided in two parts, 35 and 966, that added together give a palindrome (1001).

The spelling of 35966 in words is "thirty-five thousand, nine hundred sixty-six".