8230761 has 64 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 4121280.

The previous prime is 8230753. The next prime is 8230769. The reversal of 8230761 is 1670328.

8230761 = 140² + 141² + ... + 301².

It is an interprime number because it is at equal distance from previous prime (8230753) and next prime (8230769).

It is not a de Polignac number, because 8230761 - 2³ = 8230753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8230769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76870 + ... + 76976.

It is an arithmetic number, because the mean of its divisors is an integer number (246240).

Almost surely, 2^8230761 is an apocalyptic number.

It is an amenable number.

8230761 is a deficient number, since it is larger than the sum of its proper divisors (7528599).

8230761 is a wasteful number, since it uses less digits than its factorization.

8230761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8230761 is about 2868.9302884525. The cubic root of 8230761 is about 201.9048092485.

The spelling of 8230761 in words is "eight million, two hundred thirty thousand, seven hundred sixty-one".