10724617 has 2 divisors, whose sum is σ = 10724618. Its totient is φ = 10724616.

The previous prime is 10724591. The next prime is 10724627. The reversal of 10724617 is 71642701.

10724617 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9369721 + 1354896 = 3061^2 + 1164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10724617 is a prime.

It is equal to p₇₀₉₅₅₂ and since 10724617 and 709552 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10724627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362308 + 5362309.

It is an arithmetic number, because the mean of its divisors is an integer number (5362309).

Almost surely, 2^10724617 is an apocalyptic number.

It is an amenable number.

10724617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10724617 is an equidigital number, since it uses as much as digits as its factorization.

10724617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10724617 is about 3274.8461032543. The cubic root of 10724617 is about 220.5264047304.

The spelling of 10724617 in words is "ten million, seven hundred twenty-four thousand, six hundred seventeen".