2972106 has 32 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 947232.

The previous prime is 2972071. The next prime is 2972107. The reversal of 2972106 is 6012792.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2972106.

It is not an unprimeable number, because it can be changed into a prime (2972107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

2^2972106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2972106 is an abundant number, since it is smaller than the sum of its proper divisors (3922614).

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

2972106 is a wasteful number, since it uses less digits than its factorization.

2972106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2972106 is about 1723.9796982563. The cubic root of 2972106 is about 143.7765632071.

Adding to 2972106 its reverse (6012792), we get a palindrome (8984898).

The spelling of 2972106 in words is "two million, nine hundred seventy-two thousand, one hundred six".