33770142 has 64 divisors (see below), whose sum is σ = 87897600. Its totient is φ = 9408960.

The previous prime is 33770131. The next prime is 33770147. The reversal of 33770142 is 24107733.

It is a super-2 number, since 2×33770142² = 2280844981400328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33770147) 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 31 ways as a sum of consecutive naturals, for example, 14409 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (1373400).

Almost surely, 2^33770142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33770142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43948800).

33770142 is an abundant number, since it is smaller than the sum of its proper divisors (54127458).

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

33770142 is a wasteful number, since it uses less digits than its factorization.

33770142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 33770142 is about 5811.2083080888. The cubic root of 33770142 is about 323.2294790511.

Adding to 33770142 its reverse (24107733), we get a palindrome (57877875).

The spelling of 33770142 in words is "thirty-three million, seven hundred seventy thousand, one hundred forty-two".