37805985 has 48 divisors (see below), whose sum is σ = 75344256. Its totient is φ = 17178624.

The previous prime is 37805969. The next prime is 37805993. The reversal of 37805985 is 58950873.

It is not a de Polignac number, because 37805985 - 2⁴ = 37805969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 37805985.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80722 + ... + 81188.

It is an arithmetic number, because the mean of its divisors is an integer number (1569672).

It is a vampire number, since it can be written as 3855 ⋅ 9807 (with its own digits).

Almost surely, 2^37805985 is an apocalyptic number.

37805985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37805985 is a deficient number, since it is larger than the sum of its proper divisors (37538271).

37805985 is a wasteful number, since it uses less digits than its factorization.

37805985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 37805985 is about 6148.6571704723. The cubic root of 37805985 is about 335.6243942646.

The spelling of 37805985 in words is "thirty-seven million, eight hundred five thousand, nine hundred eighty-five".