33842872 has 32 divisors (see below), whose sum is σ = 73756800. Its totient is φ = 14256864.

The previous prime is 33842863. The next prime is 33842881. The reversal of 33842872 is 27824833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33842863) and next prime (33842881).

It is a super-2 number, since 2×33842872² = 2290679970416768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1818 + ... + 8425.

It is an arithmetic number, because the mean of its divisors is an integer number (2304900).

Almost surely, 2^33842872 is an apocalyptic number.

It is an amenable number.

33842872 is an abundant number, since it is smaller than the sum of its proper divisors (39913928).

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

33842872 is a wasteful number, since it uses less digits than its factorization.

33842872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315 (or 10311 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 33842872 is about 5817.4626771471. The cubic root of 33842872 is about 323.4613567022.

The spelling of 33842872 in words is "thirty-three million, eight hundred forty-two thousand, eight hundred seventy-two".