36737137 has 2 divisors, whose sum is σ = 36737138. Its totient is φ = 36737136.

The previous prime is 36737087. The next prime is 36737149. The reversal of 36737137 is 73173763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36675136 + 62001 = 6056^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 36737137 - 2⁷ = 36737009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36737096 and 36737105.

It is not a weakly prime, because it can be changed into another prime (36737537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18368568 + 18368569.

It is an arithmetic number, because the mean of its divisors is an integer number (18368569).

Almost surely, 2^36737137 is an apocalyptic number.

It is an amenable number.

36737137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36737137 is an equidigital number, since it uses as much as digits as its factorization.

36737137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55566, while the sum is 37.

The square root of 36737137 is about 6061.1168112816. The cubic root of 36737137 is about 332.4311938580.

The spelling of 36737137 in words is "thirty-six million, seven hundred thirty-seven thousand, one hundred thirty-seven".