2972151 has 48 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 1477440.

The previous prime is 2972149. The next prime is 2972159. The reversal of 2972151 is 1512792.

It is not a de Polignac number, because 2972151 - 2¹ = 2972149 is a prime.

2972151 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15466 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

2^2972151 is an apocalyptic number.

2972151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2972151 is a deficient number, since it is larger than the sum of its proper divisors (2618889).

2972151 is a wasteful number, since it uses less digits than its factorization.

2972151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2972151 is about 1723.9927494047. The cubic root of 2972151 is about 143.7772888331. Note that the first 3 decimals are identical.

The spelling of 2972151 in words is "two million, nine hundred seventy-two thousand, one hundred fifty-one".