38116365 has 24 divisors (see below), whose sum is σ = 70944480. Its totient is φ = 17424288.

The previous prime is 38116357. The next prime is 38116373. The reversal of 38116365 is 56361183.

38116365 = 45² + 46² + ... + 485².

It is an interprime number because it is at equal distance from previous prime (38116357) and next prime (38116373).

It is not a de Polignac number, because 38116365 - 2³ = 38116357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25195 + ... + 26664.

It is an arithmetic number, because the mean of its divisors is an integer number (2956020).

Almost surely, 2^38116365 is an apocalyptic number.

38116365 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38116365 is a deficient number, since it is larger than the sum of its proper divisors (32828115).

38116365 is a wasteful number, since it uses less digits than its factorization.

38116365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51881 (or 51874 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 38116365 is about 6173.8452361555. The cubic root of 38116365 is about 336.5403631482.

It can be divided in two parts, 38 and 116365, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 38116365 in words is "thirty-eight million, one hundred sixteen thousand, three hundred sixty-five".