33120137 has 2 divisors, whose sum is σ = 33120138. Its totient is φ = 33120136.

The previous prime is 33120119. The next prime is 33120149. The reversal of 33120137 is 73102133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25563136 + 7557001 = 5056^2 + 2749^2 .

It is a cyclic number.

It is not a de Polignac number, because 33120137 - 2²⁰ = 32071561 is a prime.

It is not a weakly prime, because it can be changed into another prime (33120937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560068 + 16560069.

It is an arithmetic number, because the mean of its divisors is an integer number (16560069).

Almost surely, 2^33120137 is an apocalyptic number.

It is an amenable number.

33120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120137 is an equidigital number, since it uses as much as digits as its factorization.

33120137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 33120137 is about 5755.0097306608. The cubic root of 33120137 is about 321.1421975237.

The spelling of 33120137 in words is "thirty-three million, one hundred twenty thousand, one hundred thirty-seven".