82629125 has 16 divisors (see below), whose sum is σ = 103744368. Its totient is φ = 65704000.

The previous prime is 82629097. The next prime is 82629191. The reversal of 82629125 is 52192628.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1503076 + 81126049 = 1226^2 + 9007^2 .

It is not a de Polignac number, because 82629125 - 2⁸ = 82628869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19715 + ... + 23535.

It is an arithmetic number, because the mean of its divisors is an integer number (6484023).

Almost surely, 2^82629125 is an apocalyptic number.

It is an amenable number.

82629125 is a deficient number, since it is larger than the sum of its proper divisors (21115243).

82629125 is a wasteful number, since it uses less digits than its factorization.

82629125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3999 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 82629125 is about 9090.0563804632. The cubic root of 82629125 is about 435.5563849851.

The spelling of 82629125 in words is "eighty-two million, six hundred twenty-nine thousand, one hundred twenty-five".