2972541 has 32 divisors (see below), whose sum is σ = 4798080. Its totient is φ = 1622400.

The previous prime is 2972537. The next prime is 2972549. The reversal of 2972541 is 1452792.

2972541 = 249² + 250² + ... + 289².

It is not a de Polignac number, because 2972541 - 2² = 2972537 is a prime.

2972541 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2972499 and 2972508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72481 + ... + 72521.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

2^2972541 is an apocalyptic number.

It is an amenable number.

2972541 is a deficient number, since it is larger than the sum of its proper divisors (1825539).

2972541 is a wasteful number, since it uses less digits than its factorization.

2972541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2972541 is about 1724.1058552189. The cubic root of 2972541 is about 143.7835772855.

The spelling of 2972541 in words is "two million, nine hundred seventy-two thousand, five hundred forty-one".