2365405 has 16 divisors (see below), whose sum is σ = 3415680. Its totient is φ = 1536192.

The previous prime is 2365399. The next prime is 2365411. The reversal of 2365405 is 5045632.

2365405 = 95² + 96² + ... + 199².

It is an interprime number because it is at equal distance from previous prime (2365399) and next prime (2365411).

It is not a de Polignac number, because 2365405 - 2⁷ = 2365277 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 3⁵ + 6⁷ + 5 + 4⁵ + 0 + 5⁹ .

2365405 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2365405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (213480).

2^2365405 is an apocalyptic number.

It is an amenable number.

2365405 is a deficient number, since it is larger than the sum of its proper divisors (1050275).

2365405 is a wasteful number, since it uses less digits than its factorization.

2365405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2365405 is about 1537.9873211441. The cubic root of 2365405 is about 133.2401675551.

The spelling of 2365405 in words is "two million, three hundred sixty-five thousand, four hundred five".