1972829 has 2 divisors, whose sum is σ = 1972830. Its totient is φ = 1972828.

The previous prime is 1972823. The next prime is 1972847. The reversal of 1972829 is 9282791.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1965604 + 7225 = 1402^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 1972829 - 2⁴ = 1972813 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1972792 and 1972801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1972823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 986414 + 986415.

It is an arithmetic number, because the mean of its divisors is an integer number (986415).

2^1972829 is an apocalyptic number.

It is an amenable number.

1972829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1972829 is an equidigital number, since it uses as much as digits as its factorization.

1972829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 38.

The square root of 1972829 is about 1404.5743127368. The cubic root of 1972829 is about 125.4189463033.

Subtracting from 1972829 its sum of digits (38), we obtain a palindrome (1972791).

The spelling of 1972829 in words is "one million, nine hundred seventy-two thousand, eight hundred twenty-nine".