33946 has 8 divisors (see below), whose sum is σ = 55584. Its totient is φ = 15420.

The previous prime is 33941. The next prime is 33961. The reversal of 33946 is 64933.

33946 = T₇₃ + T₇₄ + ... + T₈₃.

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

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 33946.

It is not an unprimeable number, because it can be changed into a prime (33941) 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, 750 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (6948).

2³³⁹⁴⁶ is an apocalyptic number.

33946 is a deficient number, since it is larger than the sum of its proper divisors (21638).

33946 is a wasteful number, since it uses less digits than its factorization.

33946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556.

The product of its digits is 1944, while the sum is 25.

The square root of 33946 is about 184.2444029001. The cubic root of 33946 is about 32.3789580389.

It can be divided in two parts, 33 and 946, that added together give a palindrome (979).

The spelling of 33946 in words is "thirty-three thousand, nine hundred forty-six".