36738257 has 2 divisors, whose sum is σ = 36738258. Its totient is φ = 36738256.

The previous prime is 36738227. The next prime is 36738259. The reversal of 36738257 is 75283763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25441936 + 11296321 = 5044^2 + 3361^2 .

It is an emirp because it is prime and its reverse (75283763) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36738257 is a prime.

Together with 36738259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36738259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18369128 + 18369129.

It is an arithmetic number, because the mean of its divisors is an integer number (18369129).

Almost surely, 2^36738257 is an apocalyptic number.

It is an amenable number.

36738257 is a deficient number, since it is larger than the sum of its proper divisors (1).

36738257 is an equidigital number, since it uses as much as digits as its factorization.

36738257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 211680, while the sum is 41.

The square root of 36738257 is about 6061.2092027911. The cubic root of 36738257 is about 332.4345720849.

The spelling of 36738257 in words is "thirty-six million, seven hundred thirty-eight thousand, two hundred fifty-seven".