8009361 has 20 divisors (see below), whose sum is σ = 12168244. Its totient is φ = 5248800.

The previous prime is 8009347. The next prime is 8009369. The reversal of 8009361 is 1639008.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 5267025 = 1656^2 + 2295^2 .

It is not a de Polignac number, because 8009361 - 2⁷ = 8009233 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8009369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4131 + ... + 5751.

Almost surely, 2^8009361 is an apocalyptic number.

8009361 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8009361 is a deficient number, since it is larger than the sum of its proper divisors (4158883).

8009361 is a wasteful number, since it uses less digits than its factorization.

8009361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8009361 is about 2830.0814475912. The cubic root of 8009361 is about 200.0779779266.

The spelling of 8009361 in words is "eight million, nine thousand, three hundred sixty-one".