8461693 has 2 divisors, whose sum is σ = 8461694. Its totient is φ = 8461692.

The previous prime is 8461657. The next prime is 8461697. The reversal of 8461693 is 3961648.

8461693 is digitally balanced in base 2, 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., 4782969 + 3678724 = 2187^2 + 1918^2 .

It is a cyclic number.

It is not a de Polignac number, because 8461693 - 2²¹ = 6364541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8461697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4230846 + 4230847.

It is an arithmetic number, because the mean of its divisors is an integer number (4230847).

Almost surely, 2^8461693 is an apocalyptic number.

It is an amenable number.

8461693 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461693 is an equidigital number, since it uses as much as digits as its factorization.

8461693 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 37.

The square root of 8461693 is about 2908.8989325860. The cubic root of 8461693 is about 203.7757130659.

It can be divided in two parts, 846 and 1693, that multiplied together give a triangular number (1432278 = T₁₆₉₂).

The spelling of 8461693 in words is "eight million, four hundred sixty-one thousand, six hundred ninety-three".