46625 has 8 divisors (see below), whose sum is σ = 58344. Its totient is φ = 37200.

The previous prime is 46619. The next prime is 46633. The reversal of 46625 is 52664.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 44944 = 41^2 + 212^2 .

It is not a de Polignac number, because 46625 - 2¹⁴ = 30241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 46625.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (7293).

2⁴⁶⁶²⁵ is an apocalyptic number.

46625 is the 125-th octagonal number.

It is an amenable number.

46625 is a deficient number, since it is larger than the sum of its proper divisors (11719).

46625 is an equidigital number, since it uses as much as digits as its factorization.

46625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 46625 is about 215.9282288169. The cubic root of 46625 is about 35.9920249824.

The spelling of 46625 in words is "forty-six thousand, six hundred twenty-five".