33956842 has 32 divisors (see below), whose sum is σ = 55148544. Its totient is φ = 15649200.

The previous prime is 33956833. The next prime is 33956843. The reversal of 33956842 is 24865933.

It is a super-2 number, since 2×33956842² = 2306134237225928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33956795 and 33956804.

It is not an unprimeable number, because it can be changed into a prime (33956843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125167 + ... + 125437.

It is an arithmetic number, because the mean of its divisors is an integer number (1723392).

Almost surely, 2^33956842 is an apocalyptic number.

33956842 is the 2914-th decagonal number.

33956842 is a deficient number, since it is larger than the sum of its proper divisors (21191702).

33956842 is a wasteful number, since it uses less digits than its factorization.

33956842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 155520, while the sum is 40.

The square root of 33956842 is about 5827.2499517354. The cubic root of 33956842 is about 323.8240483962.

Subtracting from 33956842 its reverse (24865933), we obtain a palindrome (9090909).

The spelling of 33956842 in words is "thirty-three million, nine hundred fifty-six thousand, eight hundred forty-two".