825172704 has 48 divisors (see below), whose sum is σ = 2406756240. Its totient is φ = 275057280.

The previous prime is 825172697. The next prime is 825172729. The reversal of 825172704 is 407271528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476667 + ... + 478394.

It is an arithmetic number, because the mean of its divisors is an integer number (50140755).

Almost surely, 2^825172704 is an apocalyptic number.

It is an amenable number.

825172704 is an abundant number, since it is smaller than the sum of its proper divisors (1581583536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825172704 is a wasteful number, since it uses less digits than its factorization.

825172704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955080 (or 955066 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 825172704 is about 28725.8194661179. The cubic root of 825172704 is about 937.9541684242.

The spelling of 825172704 in words is "eight hundred twenty-five million, one hundred seventy-two thousand, seven hundred four".