33413000 has 32 divisors (see below), whose sum is σ = 78188760. Its totient is φ = 13364800.

The previous prime is 33412999. The next prime is 33413011. The reversal of 33413000 is 31433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19589476 + 13823524 = 4426^2 + 3718^2 .

It is a super-2 number, since 2×33413000² = 2232857138000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15707 + ... + 17706.

Almost surely, 2^33413000 is an apocalyptic number.

It is an amenable number.

33413000 is an abundant number, since it is smaller than the sum of its proper divisors (44775760).

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

33413000 is a wasteful number, since it uses less digits than its factorization.

33413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33434 (or 33420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33413000 is about 5780.3979101788. The cubic root of 33413000 is about 322.0859819510.

Adding to 33413000 its reverse (31433), we get a palindrome (33444433).

The spelling of 33413000 in words is "thirty-three million, four hundred thirteen thousand".