3121416 has 40 divisors (see below), whose sum is σ = 8744670. Its totient is φ = 1040256.

The previous prime is 3121409. The next prime is 3121423. The reversal of 3121416 is 6141213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3121409) and next prime (3121423).

It can be written as a sum of positive squares in only one way, i.e., 3048516 + 72900 = 1746^2 + 270^2 .

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1761 + ... + 3056.

Almost surely, 2^3121416 is an apocalyptic number.

3121416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3121416 is an abundant number, since it is smaller than the sum of its proper divisors (5623254).

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

3121416 is a wasteful number, since it uses less digits than its factorization.

3121416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4822 counting only the distinct ones).

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

The square root of 3121416 is about 1766.7529538676. The cubic root of 3121416 is about 146.1449739056.

Adding to 3121416 its reverse (6141213), we get a palindrome (9262629).

It can be divided in two parts, 312 and 1416, that added together give a cube (1728 = 12³).

The spelling of 3121416 in words is "three million, one hundred twenty-one thousand, four hundred sixteen".