682620129 has 15 divisors (see below), whose sum is σ = 1020067873. Its totient is φ = 454923324.

The previous prime is 682620109. The next prime is 682620131. The reversal of 682620129 is 921026286.

It is a happy number.

The square root of 682620129 is 26127.

It is a perfect power (a square), and thus also a powerful number.

682620129 is a `hidden beast` number, since 6 + 8 + 2 + 620 + 1 + 29 = 666.

It is not a de Polignac number, because 682620129 - 2⁵ = 682620097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 682620093 and 682620102.

It is not an unprimeable number, because it can be changed into a prime (682620109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 233692 + ... + 236594.

Almost surely, 2^682620129 is an apocalyptic number.

682620129 is the 26127-th square number.

682620129 is the 13064-th centered octagonal number.

It is an amenable number.

682620129 is a deficient number, since it is larger than the sum of its proper divisors (337447744).

682620129 is an frugal number, since it uses more digits than its factorization.

682620129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 682620129 is about 880.4939242519.

Multiplying 682620129 by its sum of digits (36), we get a square (24574324644 = 156762²).

Multiplying 682620129 by its product of nonzero digits (20736), we get a square (14154810994944 = 3762288²).

The spelling of 682620129 in words is "six hundred eighty-two million, six hundred twenty thousand, one hundred twenty-nine".