35006801 has 2 divisors, whose sum is σ = 35006802. Its totient is φ = 35006800.

The previous prime is 35006779. The next prime is 35006819. The reversal of 35006801 is 10860053.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27300625 + 7706176 = 5225^2 + 2776^2 .

It is an emirp because it is prime and its reverse (10860053) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35006801 - 2¹⁸ = 34744657 is a prime.

It is a super-2 number, since 2×35006801² = 2450952232507202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (35006831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17503400 + 17503401.

It is an arithmetic number, because the mean of its divisors is an integer number (17503401).

Almost surely, 2^35006801 is an apocalyptic number.

It is an amenable number.

35006801 is a deficient number, since it is larger than the sum of its proper divisors (1).

35006801 is an equidigital number, since it uses as much as digits as its factorization.

35006801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 35006801 is about 5916.6545445885. The cubic root of 35006801 is about 327.1278168105.

Adding to 35006801 its reverse (10860053), we get a palindrome (45866854).

It can be divided in two parts, 3500 and 6801, that added together give a palindrome (10301).

The spelling of 35006801 in words is "thirty-five million, six thousand, eight hundred one".