736037 has 2 divisors, whose sum is σ = 736038. Its totient is φ = 736036.

The previous prime is 736027. The next prime is 736039. The reversal of 736037 is 730637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662596 + 73441 = 814^2 + 271^2 .

It is an emirp because it is prime and its reverse (730637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 736037 - 2⁸ = 735781 is a prime.

Together with 736039, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₅₉₂₃₇ and since 736037 and 59237 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 735997 and 736015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (736039) 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, 368018 + 368019.

It is an arithmetic number, because the mean of its divisors is an integer number (368019).

2⁷³⁶⁰³⁷ is an apocalyptic number.

It is an amenable number.

736037 is a deficient number, since it is larger than the sum of its proper divisors (1).

736037 is an equidigital number, since it uses as much as digits as its factorization.

736037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 736037 is about 857.9259874838. The cubic root of 736037 is about 90.2886616481.

The spelling of 736037 in words is "seven hundred thirty-six thousand, thirty-seven".