33772125 has 16 divisors (see below), whose sum is σ = 56197440. Its totient is φ = 18011600.

The previous prime is 33772121. The next prime is 33772147. The reversal of 33772125 is 52127733.

It is not a de Polignac number, because 33772125 - 2² = 33772121 is a prime.

It is a super-2 number, since 2×33772125² = 2281112854031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33772092 and 33772101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33772121) 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, 44655 + ... + 45404.

It is an arithmetic number, because the mean of its divisors is an integer number (3512340).

Almost surely, 2^33772125 is an apocalyptic number.

It is an amenable number.

33772125 is a deficient number, since it is larger than the sum of its proper divisors (22425315).

33772125 is an equidigital number, since it uses as much as digits as its factorization.

33772125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90077 (or 90067 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 33772125 is about 5811.3789241453. The cubic root of 33772125 is about 323.2358056607.

Adding to 33772125 its reverse (52127733), we get a palindrome (85899858).

The spelling of 33772125 in words is "thirty-three million, seven hundred seventy-two thousand, one hundred twenty-five".