8724735401 has 2 divisors, whose sum is σ = 8724735402. Its totient is φ = 8724735400.

The previous prime is 8724735373. The next prime is 8724735403. The reversal of 8724735401 is 1045374278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8331308176 + 393427225 = 91276^2 + 19835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8724735401 is a prime.

It is a super-2 number, since 2×8724735401² (a number of 21 digits) contains 22 as substring.

Together with 8724735403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8724735403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4362367700 + 4362367701.

It is an arithmetic number, because the mean of its divisors is an integer number (4362367701).

Almost surely, 2^8724735401 is an apocalyptic number.

It is an amenable number.

8724735401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8724735401 is an equidigital number, since it uses as much as digits as its factorization.

8724735401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 8724735401 is about 93406.2920846342. The cubic root of 8724735401 is about 2058.6574499904.

The spelling of 8724735401 in words is "eight billion, seven hundred twenty-four million, seven hundred thirty-five thousand, four hundred one".