8123625 has 64 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 4132800.

The previous prime is 8123597. The next prime is 8123627. The reversal of 8123625 is 5263218.

It is not a de Polignac number, because 8123625 - 2⁵ = 8123593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (120).

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8123627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97834 + ... + 97916.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^8123625 is an apocalyptic number.

It is an amenable number.

8123625 is a deficient number, since it is larger than the sum of its proper divisors (7601175).

8123625 is a wasteful number, since it uses less digits than its factorization.

8123625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 8123625 is about 2850.1973615874. The cubic root of 8123625 is about 201.0249467811.

The spelling of 8123625 in words is "eight million, one hundred twenty-three thousand, six hundred twenty-five".