33872261 has 16 divisors (see below), whose sum is σ = 37445760. Its totient is φ = 30528960.

The previous prime is 33872257. The next prime is 33872281. The reversal of 33872261 is 16227833.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33872261 - 2² = 33872257 is a prime.

It is a super-2 number, since 2×33872261² = 2294660130504242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872281) 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, 28091 + ... + 29271.

It is an arithmetic number, because the mean of its divisors is an integer number (2340360).

Almost surely, 2^33872261 is an apocalyptic number.

It is an amenable number.

33872261 is a deficient number, since it is larger than the sum of its proper divisors (3573499).

33872261 is a wasteful number, since it uses less digits than its factorization.

33872261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its digits is 12096, while the sum is 32.

The square root of 33872261 is about 5819.9880584070. The cubic root of 33872261 is about 323.5549604151.

The spelling of 33872261 in words is "thirty-three million, eight hundred seventy-two thousand, two hundred sixty-one".