832407125 has 64 divisors (see below), whose sum is σ = 1213056000. Its totient is φ = 563584000.

The previous prime is 832407089. The next prime is 832407131. The reversal of 832407125 is 521704238.

832407125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 832407125 - 2⁶ = 832407061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 832407091 and 832407100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3482756 + ... + 3482994.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^832407125 is an apocalyptic number.

832407125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

832407125 is a deficient number, since it is larger than the sum of its proper divisors (380648875).

832407125 is a wasteful number, since it uses less digits than its factorization.

832407125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 832407125 is about 28851.4666005040. The cubic root of 832407125 is about 940.6872614718.

The spelling of 832407125 in words is "eight hundred thirty-two million, four hundred seven thousand, one hundred twenty-five".