33672825 has 36 divisors (see below), whose sum is σ = 60909420. Its totient is φ = 17781120.

The previous prime is 33672817. The next prime is 33672829. The reversal of 33672825 is 52827633.

It can be written as a sum of positive squares in 6 ways, for example, as 2903616 + 30769209 = 1704^2 + 5547^2 .

It is not a de Polignac number, because 33672825 - 2³ = 33672817 is a prime.

It is a super-2 number, since 2×33672825² = 2267718286961250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33672825.

It is not an unprimeable number, because it can be changed into a prime (33672829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23839 + ... + 25211.

Almost surely, 2^33672825 is an apocalyptic number.

It is an amenable number.

33672825 is a deficient number, since it is larger than the sum of its proper divisors (27236595).

33672825 is a wasteful number, since it uses less digits than its factorization.

33672825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 33672825 is about 5802.8290514197. The cubic root of 33672825 is about 322.9186918129.

The spelling of 33672825 in words is "thirty-three million, six hundred seventy-two thousand, eight hundred twenty-five".