82972333 has 2 divisors, whose sum is σ = 82972334. Its totient is φ = 82972332.

The previous prime is 82972321. The next prime is 82972363. The reversal of 82972333 is 33327928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66634569 + 16337764 = 8163^2 + 4042^2 .

It is a cyclic number.

It is not a de Polignac number, because 82972333 - 2⁵ = 82972301 is a prime.

It is equal to p_4832794 and since 82972333 and 4832794 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 82972292 and 82972301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82972363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41486166 + 41486167.

It is an arithmetic number, because the mean of its divisors is an integer number (41486167).

Almost surely, 2^82972333 is an apocalyptic number.

It is an amenable number.

82972333 is a deficient number, since it is larger than the sum of its proper divisors (1).

82972333 is an equidigital number, since it uses as much as digits as its factorization.

82972333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 37.

The square root of 82972333 is about 9108.9150286958. The cubic root of 82972333 is about 436.1585937232.

The spelling of 82972333 in words is "eighty-two million, nine hundred seventy-two thousand, three hundred thirty-three".