38966305 has 32 divisors (see below), whose sum is σ = 55070208. Its totient is φ = 25920000.

The previous prime is 38966281. The next prime is 38966311. The reversal of 38966305 is 50366983.

It is not a de Polignac number, because 38966305 - 2⁵ = 38966273 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257980 + ... + 258130.

It is an arithmetic number, because the mean of its divisors is an integer number (1720944).

Almost surely, 2^38966305 is an apocalyptic number.

38966305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38966305 is a deficient number, since it is larger than the sum of its proper divisors (16103903).

38966305 is a wasteful number, since it uses less digits than its factorization.

38966305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 38966305 is about 6242.2996563766. The cubic root of 38966305 is about 339.0234521704.

It can be divided in two parts, 3896 and 6305, that added together give a palindrome (10201).

The spelling of 38966305 in words is "thirty-eight million, nine hundred sixty-six thousand, three hundred five".