37982641 has 8 divisors (see below), whose sum is σ = 40313160. Its totient is φ = 35662848.

The previous prime is 37982621. The next prime is 37982677. The reversal of 37982641 is 14628973.

It can be written as a sum of positive squares in 4 ways, for example, as 21344400 + 16638241 = 4620^2 + 4079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37982641 - 2⁹ = 37982129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37982594 and 37982603.

It is not an unprimeable number, because it can be changed into a prime (37982611) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5325 + ... + 10213.

It is an arithmetic number, because the mean of its divisors is an integer number (5039145).

Almost surely, 2^37982641 is an apocalyptic number.

It is an amenable number.

37982641 is a deficient number, since it is larger than the sum of its proper divisors (2330519).

37982641 is a wasteful number, since it uses less digits than its factorization.

37982641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363.

The product of its digits is 72576, while the sum is 40.

The square root of 37982641 is about 6163.0058413083. The cubic root of 37982641 is about 336.1463394343.

The spelling of 37982641 in words is "thirty-seven million, nine hundred eighty-two thousand, six hundred forty-one".