37982017 has 16 divisors (see below), whose sum is σ = 40273920. Its totient is φ = 35779968.

The previous prime is 37982011. The next prime is 37982027. The reversal of 37982017 is 71028973.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37982017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37982011) 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 15 ways as a sum of consecutive naturals, for example, 277173 + ... + 277309.

It is an arithmetic number, because the mean of its divisors is an integer number (2517120).

Almost surely, 2^37982017 is an apocalyptic number.

37982017 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

37982017 is a deficient number, since it is larger than the sum of its proper divisors (2291903).

37982017 is a wasteful number, since it uses less digits than its factorization.

37982017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 37982017 is about 6162.9552164526. The cubic root of 37982017 is about 336.1444986244.

The spelling of 37982017 in words is "thirty-seven million, nine hundred eighty-two thousand, seventeen".