83582125 has 32 divisors (see below), whose sum is σ = 115240320. Its totient is φ = 60016000.

The previous prime is 83582099. The next prime is 83582141. The reversal of 83582125 is 52128538.

It is a de Polignac number, because none of the positive numbers 2^k-83582125 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122034 + ... + 122716.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2^83582125 is an apocalyptic number.

It is an amenable number.

83582125 is a deficient number, since it is larger than the sum of its proper divisors (31658195).

83582125 is a wasteful number, since it uses less digits than its factorization.

83582125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 83582125 is about 9142.3260169390. The cubic root of 83582125 is about 437.2244795857.

The spelling of 83582125 in words is "eighty-three million, five hundred eighty-two thousand, one hundred twenty-five".