825293832 has 192 divisors, whose sum is σ = 2480068800. Its totient is φ = 226652160.

The previous prime is 825293813. The next prime is 825293837. The reversal of 825293832 is 238392528.

It is a super-2 number, since 2×825293832² = 1362219818274488448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825293837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212398 + ... + 2212770.

It is an arithmetic number, because the mean of its divisors is an integer number (12917025).

Almost surely, 2^825293832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825293832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240034400).

825293832 is an abundant number, since it is smaller than the sum of its proper divisors (1654774968).

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

825293832 is a wasteful number, since it uses less digits than its factorization.

825293832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 825293832 is about 28727.9277359158. The cubic root of 825293832 is about 938.0000606168. Note that the first 4 decimals are identical.

The spelling of 825293832 in words is "eight hundred twenty-five million, two hundred ninety-three thousand, eight hundred thirty-two".