736961 has 2 divisors, whose sum is σ = 736962. Its totient is φ = 736960.

The previous prime is 736951. The next prime is 736973. The reversal of 736961 is 169637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 732736 + 4225 = 856^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 736961 - 2¹⁰ = 735937 is a prime.

It is a super-2 number, since 2×736961² = 1086223031042, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (736921) 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, 368480 + 368481.

It is an arithmetic number, because the mean of its divisors is an integer number (368481).

2⁷³⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

736961 is a deficient number, since it is larger than the sum of its proper divisors (1).

736961 is an equidigital number, since it uses as much as digits as its factorization.

736961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

The square root of 736961 is about 858.4643265739. The cubic root of 736961 is about 90.3264277918.

The spelling of 736961 in words is "seven hundred thirty-six thousand, nine hundred sixty-one".