4100625 has 45 divisors (see below), whose sum is σ = 7685821. Its totient is φ = 2187000.

The previous prime is 4100611. The next prime is 4100627. The reversal of 4100625 is 5260014.

It is a happy number.

The square root of 4100625 is 2025.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

4100625 is a `hidden beast` number, since 41 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 3779136 = 567^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 4100625 - 2¹³ = 4092433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4100598 and 4100607.

It is not an unprimeable number, because it can be changed into a prime (4100627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 820123 + ... + 820127.

Almost surely, 2^4100625 is an apocalyptic number.

4100625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4100625 is the 2025-th square number.

4100625 is the 1013-rd centered octagonal number.

It is an amenable number.

4100625 is a deficient number, since it is larger than the sum of its proper divisors (3585196).

4100625 is an frugal number, since it uses more digits than its factorization.

4100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 4100625 is about 160.0601987021.

Adding to 4100625 its reverse (5260014), we get a palindrome (9360639).

The spelling of 4100625 in words is "four million, one hundred thousand, six hundred twenty-five".