4185261 has 12 divisors (see below), whose sum is σ = 6087900. Its totient is φ = 2770560.

The previous prime is 4185257. The next prime is 4185277. The reversal of 4185261 is 1625814.

It can be written as a sum of positive squares in 2 ways, for example, as 145161 + 4040100 = 381^2 + 2010^2 .

It is not a de Polignac number, because 4185261 - 2² = 4185257 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

4185261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (507325).

Almost surely, 2^4185261 is an apocalyptic number.

It is an amenable number.

4185261 is a deficient number, since it is larger than the sum of its proper divisors (1902639).

4185261 is a wasteful number, since it uses less digits than its factorization.

4185261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3273 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4185261 is about 2045.7910450483. The cubic root of 4185261 is about 161.1539106620.

The spelling of 4185261 in words is "four million, one hundred eighty-five thousand, two hundred sixty-one".