33412 has 6 divisors (see below), whose sum is σ = 58478. Its totient is φ = 16704.

The previous prime is 33409. The next prime is 33413. The reversal of 33412 is 21433.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 3136 = 174^2 + 56^2 .

It is a super-2 number, since 2×33412² = 2232723488, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 33412 parts by 258 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 33392 and 33401.

It is not an unprimeable number, because it can be changed into a prime (33413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4173 + ... + 4180.

2³³⁴¹² is an apocalyptic number.

It is an amenable number.

33412 is a deficient number, since it is larger than the sum of its proper divisors (25066).

33412 is a wasteful number, since it uses less digits than its factorization.

33412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8355 counting only the distinct ones).

The product of its digits is 72, while the sum is 13.

The square root of 33412 is about 182.7894964160. The cubic root of 33412 is about 32.2082768739.

Adding to 33412 its reverse (21433), we get a palindrome (54845).

The spelling of 33412 in words is "thirty-three thousand, four hundred twelve".