33845949 has 18 divisors (see below), whose sum is σ = 51113790. Its totient is φ = 21579888.

The previous prime is 33845941. The next prime is 33845953. The reversal of 33845949 is 94954833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 10517049 = 4830^2 + 3243^2 .

It is not a de Polignac number, because 33845949 - 2³ = 33845941 is a prime.

It is a super-2 number, since 2×33845949² = 2291096527421202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33845941) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1207 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (2839655).

Almost surely, 2^33845949 is an apocalyptic number.

It is an amenable number.

33845949 is a deficient number, since it is larger than the sum of its proper divisors (17267841).

33845949 is a wasteful number, since it uses less digits than its factorization.

33845949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7135 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 33845949 is about 5817.7271335118. The cubic root of 33845949 is about 323.4711594600.

The spelling of 33845949 in words is "thirty-three million, eight hundred forty-five thousand, nine hundred forty-nine".