102772829 has 2 divisors, whose sum is σ = 102772830. Its totient is φ = 102772828.

The previous prime is 102772823. The next prime is 102772849. The reversal of 102772829 is 928277201.

102772829 = 5852² + 5853² + 5854².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81631225 + 21141604 = 9035^2 + 4598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102772829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102772792 and 102772801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102772823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51386414 + 51386415.

It is an arithmetic number, because the mean of its divisors is an integer number (51386415).

Almost surely, 2^102772829 is an apocalyptic number.

It is an amenable number.

102772829 is a deficient number, since it is larger than the sum of its proper divisors (1).

102772829 is an equidigital number, since it uses as much as digits as its factorization.

102772829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 102772829 is about 10137.6934753424. The cubic root of 102772829 is about 468.4099413553.

The spelling of 102772829 in words is "one hundred two million, seven hundred seventy-two thousand, eight hundred twenty-nine".