83001625 has 32 divisors (see below), whose sum is σ = 122503680. Its totient is φ = 54936000.

The previous prime is 83001559. The next prime is 83001629. The reversal of 83001625 is 52610038.

It is a happy number.

It is not a de Polignac number, because 83001625 - 2¹³ = 82993433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 83001625.

It is not an unprimeable number, because it can be changed into a prime (83001629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23740 + ... + 27010.

It is an arithmetic number, because the mean of its divisors is an integer number (3828240).

Almost surely, 2^83001625 is an apocalyptic number.

It is an amenable number.

83001625 is a deficient number, since it is larger than the sum of its proper divisors (39502055).

83001625 is a wasteful number, since it uses less digits than its factorization.

83001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 83001625 is about 9110.5227621690. The cubic root of 83001625 is about 436.2099138598.

The spelling of 83001625 in words is "eighty-three million, one thousand, six hundred twenty-five".