972082619 has 2 divisors, whose sum is σ = 972082620. Its totient is φ = 972082618.

The previous prime is 972082607. The next prime is 972082621. The reversal of 972082619 is 916280279.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 972082619 - 2²⁸ = 703647163 is a prime.

It is a super-2 number, since 2×972082619² = 1889889236323798322, which contains 22 as substring.

Together with 972082621, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972082619.

It is not a weakly prime, because it can be changed into another prime (972082669) 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 as a sum of consecutive naturals, namely, 486041309 + 486041310.

It is an arithmetic number, because the mean of its divisors is an integer number (486041310).

Almost surely, 2^972082619 is an apocalyptic number.

972082619 is a deficient number, since it is larger than the sum of its proper divisors (1).

972082619 is an equidigital number, since it uses as much as digits as its factorization.

972082619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 972082619 is about 31178.2395109153. The cubic root of 972082619 is about 990.6062399151.

The spelling of 972082619 in words is "nine hundred seventy-two million, eighty-two thousand, six hundred nineteen".