4161312 has 36 divisors (see below), whose sum is σ = 11834550. Its totient is φ = 1387008.

The previous prime is 4161307. The next prime is 4161331. The reversal of 4161312 is 2131614.

It is a happy number.

4161312 is a `hidden beast` number, since 41 + 613 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2322576 + 1838736 = 1524^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4161312² = 34633035122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6937 + ... + 7512.

Almost surely, 2^4161312 is an apocalyptic number.

It is an amenable number.

4161312 is an abundant number, since it is smaller than the sum of its proper divisors (7673238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4161312 is a wasteful number, since it uses less digits than its factorization.

4161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14454 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4161312 is about 2039.9294105434. The cubic root of 4161312 is about 160.8459362337.

Adding to 4161312 its reverse (2131614), we get a palindrome (6292926).

It can be divided in two parts, 416 and 1312, that added together give a cube (1728 = 12³).

The spelling of 4161312 in words is "four million, one hundred sixty-one thousand, three hundred twelve".