465125 has 12 divisors (see below), whose sum is σ = 590148. Its totient is φ = 366000.

The previous prime is 465119. The next prime is 465133. The reversal of 465125 is 521564.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Cunningham number, because it is equal to 682²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 407044 + 58081 = 638^2 + 241^2 .

It is not a de Polignac number, because 465125 - 2⁶ = 465061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 465125.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465125.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7595 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (49179).

465125 is a Friedman number, since it can be written as (61^2*5^4)/5, using all its digits and the basic arithmetic operations.

2⁴⁶⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

465125 is a deficient number, since it is larger than the sum of its proper divisors (125023).

465125 is an frugal number, since it uses more digits than its factorization.

465125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 66 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 465125 is about 682.0007331374. Note that the first 3 decimals coincide. The cubic root of 465125 is about 77.4800503629.

Adding to 465125 its reverse (521564), we get a palindrome (986689).

The spelling of 465125 in words is "four hundred sixty-five thousand, one hundred twenty-five".