972182013 has 16 divisors (see below), whose sum is σ = 1415781696. Its totient is φ = 588493440.

The previous prime is 972182011. The next prime is 972182017. The reversal of 972182013 is 310281279.

It is not a de Polignac number, because 972182013 - 2¹ = 972182011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972182011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10881 + ... + 45417.

It is an arithmetic number, because the mean of its divisors is an integer number (88486356).

Almost surely, 2^972182013 is an apocalyptic number.

It is an amenable number.

972182013 is a deficient number, since it is larger than the sum of its proper divisors (443599683).

972182013 is a wasteful number, since it uses less digits than its factorization.

972182013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35404.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 972182013 is about 31179.8334344493. The cubic root of 972182013 is about 990.6400014354.

The spelling of 972182013 in words is "nine hundred seventy-two million, one hundred eighty-two thousand, thirteen".