616905 has 12 divisors (see below), whose sum is σ = 1069380. Its totient is φ = 328992.

The previous prime is 616897. The next prime is 616909. The reversal of 616905 is 509616.

616905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 227529 = 624^2 + 477^2 .

It is not a de Polignac number, because 616905 - 2³ = 616897 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (616909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6810 + ... + 6899.

It is an arithmetic number, because the mean of its divisors is an integer number (89115).

2⁶¹⁶⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

616905 is a deficient number, since it is larger than the sum of its proper divisors (452475).

616905 is a wasteful number, since it uses less digits than its factorization.

616905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 616905 is about 785.4330015985. The cubic root of 616905 is about 85.1280653156.

It can be divided in two parts, 616 and 905, that added together give a square (1521 = 39²).

The spelling of 616905 in words is "six hundred sixteen thousand, nine hundred five".