33829572 has 48 divisors (see below), whose sum is σ = 90502272. Its totient is φ = 9634560.

The previous prime is 33829553. The next prime is 33829577. The reversal of 33829572 is 27592833.

It is a super-2 number, since 2×33829572² = 2288879883406368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33829572.

It is not an unprimeable number, because it can be changed into a prime (33829577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43378 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (1885464).

Almost surely, 2^33829572 is an apocalyptic number.

It is an amenable number.

33829572 is an abundant number, since it is smaller than the sum of its proper divisors (56672700).

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

33829572 is a wasteful number, since it uses less digits than its factorization.

33829572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 33829572 is about 5816.3194547755. The cubic root of 33829572 is about 323.4189785048.

The spelling of 33829572 in words is "thirty-three million, eight hundred twenty-nine thousand, five hundred seventy-two".