37681965 has 12 divisors (see below), whose sum is σ = 65315484. Its totient is φ = 20097024.

The previous prime is 37681961. The next prime is 37681999. The reversal of 37681965 is 56918673.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9771876 + 27910089 = 3126^2 + 5283^2 .

It is not a de Polignac number, because 37681965 - 2² = 37681961 is a prime.

It is a super-2 number, since 2×37681965² = 2839860972522450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 837377 = 37681965 / (3 + 7 + 6 + 8 + 1 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 37681965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37681961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418644 + ... + 418733.

It is an arithmetic number, because the mean of its divisors is an integer number (5442957).

Almost surely, 2^37681965 is an apocalyptic number.

It is an amenable number.

37681965 is a deficient number, since it is larger than the sum of its proper divisors (27633519).

37681965 is a wasteful number, since it uses less digits than its factorization.

37681965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837388 (or 837385 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 37681965 is about 6138.5637571015. The cubic root of 37681965 is about 335.2569944506.

The spelling of 37681965 in words is "thirty-seven million, six hundred eighty-one thousand, nine hundred sixty-five".