35305973 has 2 divisors, whose sum is σ = 35305974. Its totient is φ = 35305972.

The previous prime is 35305937. The next prime is 35305979. The reversal of 35305973 is 37950353.

Together with previous prime (35305937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33849124 + 1456849 = 5818^2 + 1207^2 .

It is a cyclic number.

It is not a de Polignac number, because 35305973 - 2¹⁰ = 35304949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35305979) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17652986 + 17652987.

It is an arithmetic number, because the mean of its divisors is an integer number (17652987).

Almost surely, 2^35305973 is an apocalyptic number.

It is an amenable number.

35305973 is a deficient number, since it is larger than the sum of its proper divisors (1).

35305973 is an equidigital number, since it uses as much as digits as its factorization.

35305973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42525, while the sum is 35.

The square root of 35305973 is about 5941.8829507152. The cubic root of 35305973 is about 328.0570648533.

The spelling of 35305973 in words is "thirty-five million, three hundred five thousand, nine hundred seventy-three".