825971007 has 8 divisors (see below), whose sum is σ = 1102308480. Its totient is φ = 550140440.

The previous prime is 825970987. The next prime is 825971033. The reversal of 825971007 is 700179528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825971007 - 2⁷ = 825970879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825971077) 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 7 ways as a sum of consecutive naturals, for example, 122907 + ... + 129452.

It is an arithmetic number, because the mean of its divisors is an integer number (137788560).

Almost surely, 2^825971007 is an apocalyptic number.

825971007 is a deficient number, since it is larger than the sum of its proper divisors (276337473).

825971007 is a wasteful number, since it uses less digits than its factorization.

825971007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253453.

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 825971007 is about 28739.7113242287. The cubic root of 825971007 is about 938.2565416080.

The spelling of 825971007 in words is "eight hundred twenty-five million, nine hundred seventy-one thousand, seven".