41765000 has 40 divisors (see below), whose sum is σ = 97867110. Its totient is φ = 16704000.

The previous prime is 41764993. The next prime is 41765023. The reversal of 41765000 is 56714.

It can be written as a sum of positive squares in 5 ways, for example, as 1493284 + 40271716 = 1222^2 + 6346^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 824 + ... + 9176.

Almost surely, 2^41765000 is an apocalyptic number.

41765000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933555).

41765000 is an abundant number, since it is smaller than the sum of its proper divisors (56102110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41765000 is an equidigital number, since it uses as much as digits as its factorization.

41765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 41765000 is about 6462.5846222699. The cubic root of 41765000 is about 346.9531450160.

The spelling of 41765000 in words is "forty-one million, seven hundred sixty-five thousand".