4087305 has 24 divisors (see below), whose sum is σ = 7205640. Its totient is φ = 2142720.

The previous prime is 4087301. The next prime is 4087333. The reversal of 4087305 is 5037804.

4087305 = 376² + 377² + ... + 402².

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 4016016 = 267^2 + 2004^2 .

It is not a de Polignac number, because 4087305 - 2² = 4087301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2001 + ... + 3489.

It is an arithmetic number, because the mean of its divisors is an integer number (300235).

Almost surely, 2^4087305 is an apocalyptic number.

4087305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4087305 is a deficient number, since it is larger than the sum of its proper divisors (3118335).

4087305 is a wasteful number, since it uses less digits than its factorization.

4087305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4087305 is about 2021.7084359521. The cubic root of 4087305 is about 159.8867036477.

The spelling of 4087305 in words is "four million, eighty-seven thousand, three hundred five".