2972529 has 24 divisors (see below), whose sum is σ = 5079360. Its totient is φ = 1639008.

The previous prime is 2972527. The next prime is 2972537. The reversal of 2972529 is 9252792.

It is not a de Polignac number, because 2972529 - 2¹ = 2972527 is a prime.

It is a super-4 number, since 4×2972529⁴ (a number of 27 digits) contains 4444 as substring.

It is a Curzon number.

2972529 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2972493 and 2972502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014 + ... + 2640.

It is an arithmetic number, because the mean of its divisors is an integer number (211640).

2^2972529 is an apocalyptic number.

2972529 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2972529 is a deficient number, since it is larger than the sum of its proper divisors (2106831).

2972529 is a wasteful number, since it uses less digits than its factorization.

2972529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1666 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2972529 is about 1724.1023751506. The cubic root of 2972529 is about 143.7833838029.

The spelling of 2972529 in words is "two million, nine hundred seventy-two thousand, five hundred twenty-nine".