735978961 has 2 divisors, whose sum is σ = 735978962. Its totient is φ = 735978960.

The previous prime is 735978953. The next prime is 735978973. The reversal of 735978961 is 169879537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 731377936 + 4601025 = 27044^2 + 2145^2 .

It is a cyclic number.

It is not a de Polignac number, because 735978961 - 2³ = 735978953 is a prime.

It is not a weakly prime, because it can be changed into another prime (735978911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 367989480 + 367989481.

It is an arithmetic number, because the mean of its divisors is an integer number (367989481).

Almost surely, 2^735978961 is an apocalyptic number.

It is an amenable number.

735978961 is a deficient number, since it is larger than the sum of its proper divisors (1).

735978961 is an equidigital number, since it uses as much as digits as its factorization.

735978961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 55.

The square root of 735978961 is about 27128.9321758155. The cubic root of 735978961 is about 902.8628839724.

It can be divided in two parts, 7359 and 78961, that added together give a triangular number (86320 = T₄₁₅).

The spelling of 735978961 in words is "seven hundred thirty-five million, nine hundred seventy-eight thousand, nine hundred sixty-one".