33272137 has 2 divisors, whose sum is σ = 33272138. Its totient is φ = 33272136.

The previous prime is 33272131. The next prime is 33272143. The reversal of 33272137 is 73127233.

It is a balanced prime because it is at equal distance from previous prime (33272131) and next prime (33272143).

It can be written as a sum of positive squares in only one way, i.e., 21307456 + 11964681 = 4616^2 + 3459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33272137 is a prime.

It is a super-2 number, since 2×33272137² = 2214070201093538, which contains 22 as substring.

It is equal to p_2047366 and since 33272137 and 2047366 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (33272131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16636068 + 16636069.

It is an arithmetic number, because the mean of its divisors is an integer number (16636069).

Almost surely, 2^33272137 is an apocalyptic number.

It is an amenable number.

33272137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33272137 is an equidigital number, since it uses as much as digits as its factorization.

33272137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 28.

The square root of 33272137 is about 5768.2004992892. The cubic root of 33272137 is about 321.6327261865.

The spelling of 33272137 in words is "thirty-three million, two hundred seventy-two thousand, one hundred thirty-seven".