36720137 has 2 divisors, whose sum is σ = 36720138. Its totient is φ = 36720136.

The previous prime is 36720083. The next prime is 36720143. The reversal of 36720137 is 73102763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22762441 + 13957696 = 4771^2 + 3736^2 .

It is a cyclic number.

It is not a de Polignac number, because 36720137 - 2¹² = 36716041 is a prime.

It is a super-2 number, since 2×36720137² = 2696736922597538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36720157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18360068 + 18360069.

It is an arithmetic number, because the mean of its divisors is an integer number (18360069).

Almost surely, 2^36720137 is an apocalyptic number.

It is an amenable number.

36720137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36720137 is an equidigital number, since it uses as much as digits as its factorization.

36720137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 36720137 is about 6059.7142671912. The cubic root of 36720137 is about 332.3799087671.

The spelling of 36720137 in words is "thirty-six million, seven hundred twenty thousand, one hundred thirty-seven".