3729797 has 2 divisors, whose sum is σ = 3729798. Its totient is φ = 3729796.

The previous prime is 3729793. The next prime is 3729799. The reversal of 3729797 is 7979273.

3729797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2292196 + 1437601 = 1514^2 + 1199^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729797 - 2² = 3729793 is a prime.

It is a super-2 number, since 2×3729797² = 27822771322418, which contains 22 as substring.

Together with 3729799, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3729793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864898 + 1864899.

It is an arithmetic number, because the mean of its divisors is an integer number (1864899).

Almost surely, 2^3729797 is an apocalyptic number.

It is an amenable number.

3729797 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729797 is an equidigital number, since it uses as much as digits as its factorization.

3729797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 166698, while the sum is 44.

The square root of 3729797 is about 1931.2682361599. The cubic root of 3729797 is about 155.0821208957.

The spelling of 3729797 in words is "three million, seven hundred twenty-nine thousand, seven hundred ninety-seven".