8123461 has 8 divisors (see below), whose sum is σ = 8396024. Its totient is φ = 7853760.

The previous prime is 8123449. The next prime is 8123471. The reversal of 8123461 is 1643218.

It can be written as a sum of positive squares in 4 ways, for example, as 961 + 8122500 = 31^2 + 2850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8123461 - 2¹⁹ = 7599173 is a prime.

It is a Duffinian number.

8123461 is a lucky number.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6091 + ... + 7303.

It is an arithmetic number, because the mean of its divisors is an integer number (1049503).

Almost surely, 2^8123461 is an apocalyptic number.

It is an amenable number.

8123461 is a deficient number, since it is larger than the sum of its proper divisors (272563).

8123461 is a wasteful number, since it uses less digits than its factorization.

8123461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431.

The product of its digits is 1152, while the sum is 25.

The square root of 8123461 is about 2850.1685915047. The cubic root of 8123461 is about 201.0235940060.

Adding to 8123461 its reverse (1643218), we get a palindrome (9766679).

The spelling of 8123461 in words is "eight million, one hundred twenty-three thousand, four hundred sixty-one".