11164405 has 12 divisors (see below), whose sum is σ = 15584940. Its totient is φ = 7655424.

The previous prime is 11164379. The next prime is 11164429. The reversal of 11164405 is 50446111.

It can be written as a sum of positive squares in 2 ways, for example, as 7800849 + 3363556 = 2793^2 + 1834^2 .

It is not a de Polignac number, because 11164405 - 2¹⁷ = 11033333 is a prime.

It is a super-4 number, since 4×11164405⁴ (a number of 29 digits) contains 4444 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22540 + ... + 23029.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^11164405 is an apocalyptic number.

It is an amenable number.

11164405 is a deficient number, since it is larger than the sum of its proper divisors (4420535).

11164405 is an equidigital number, since it uses as much as digits as its factorization.

11164405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45588 (or 45581 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11164405 is about 3341.3178537816. The cubic root of 11164405 is about 223.5005146570.

It can be divided in two parts, 111 and 64405, that added together give a square (64516 = 254²).

The spelling of 11164405 in words is "eleven million, one hundred sixty-four thousand, four hundred five".